id sid tid token lemma pos cana-5311 1 1 communications communication NOUN cana-5311 1 2 on on ADP cana-5311 1 3 applied apply VERB cana-5311 1 4 nonlinear nonlinear ADJ cana-5311 1 5 analysis analysis NOUN cana-5311 1 6 issn issn NOUN cana-5311 1 7 : : PUNCT cana-5311 1 8 1074 1074 NUM cana-5311 1 9 - - PUNCT cana-5311 1 10 133x 133x NUM cana-5311 1 11 vol vol NOUN cana-5311 1 12 31 31 NUM cana-5311 1 13 no no NOUN cana-5311 1 14 . . PUNCT cana-5311 2 1 6s 6s NUM cana-5311 2 2 ( ( PUNCT cana-5311 2 3 2024 2024 NUM cana-5311 2 4 ) ) PUNCT cana-5311 2 5 742 742 NUM cana-5311 3 1 https://internationalpubls.com https://internationalpubls.com X cana-5311 3 2 optimizing optimize VERB cana-5311 3 3 graph graph NOUN cana-5311 3 4 theory theory NOUN cana-5311 3 5 algorithms algorithm NOUN cana-5311 3 6 for for ADP cana-5311 3 7 social social ADJ cana-5311 3 8 network network NOUN cana-5311 3 9 analysis analysis NOUN cana-5311 3 10 1s 1 NOUN cana-5311 3 11 . . PUNCT cana-5311 4 1 balamuralitharan balamuralitharan PROPN cana-5311 4 2 , , PUNCT cana-5311 4 3 2 2 NUM cana-5311 4 4 j.suja j.suja NOUN cana-5311 4 5 , , PUNCT cana-5311 4 6 3r 3r NUM cana-5311 4 7 . . PUNCT cana-5311 5 1 arulprakasam arulprakasam PROPN cana-5311 5 2 , , PUNCT cana-5311 5 3 4m.srikanth 4m.srikanth PROPN cana-5311 5 4 , , PUNCT cana-5311 5 5 5t.anil 5t.anil PROPN cana-5311 5 6 kumar kumar PROPN cana-5311 5 7 1adjunct 1adjunct NUM cana-5311 5 8 faculty faculty NOUN cana-5311 5 9 , , PUNCT cana-5311 5 10 department department NOUN cana-5311 5 11 of of ADP cana-5311 5 12 pure pure ADJ cana-5311 5 13 and and CCONJ cana-5311 5 14 applied applied ADJ cana-5311 5 15 mathematics mathematic NOUN cana-5311 5 16 , , PUNCT cana-5311 5 17 saveetha saveetha PROPN cana-5311 5 18 school school PROPN cana-5311 5 19 of of ADP cana-5311 5 20 engineering engineering NOUN cana-5311 5 21 , , PUNCT cana-5311 5 22 simats simat NOUN cana-5311 5 23 , , PUNCT cana-5311 5 24 chennai chennai PROPN cana-5311 5 25 , , PUNCT cana-5311 5 26 tamil tamil PROPN cana-5311 5 27 nadu nadu PROPN cana-5311 5 28 , , PUNCT cana-5311 5 29 india india PROPN cana-5311 5 30 email email NOUN cana-5311 6 1 i i PROPN cana-5311 6 2 d d PROPN cana-5311 6 3 : : PUNCT cana-5311 6 4 balamurali.maths@gmail.com balamurali.maths@gmail.com X cana-5311 6 5 2assistant 2assistant NUM cana-5311 6 6 professor professor NOUN cana-5311 6 7 , , PUNCT cana-5311 6 8 department department NOUN cana-5311 6 9 of of ADP cana-5311 6 10 mathematics mathematics PROPN cana-5311 6 11 panimalar panimalar ADJ cana-5311 6 12 engineering engineering NOUN cana-5311 6 13 college college NOUN cana-5311 6 14 , , PUNCT cana-5311 6 15 poonamalle poonamalle NOUN cana-5311 6 16 , , PUNCT cana-5311 6 17 chennai-600123 chennai-600123 VERB cana-5311 6 18 mail mail VERB cana-5311 6 19 i i NOUN cana-5311 6 20 d d PROPN cana-5311 6 21 : : PUNCT cana-5311 7 1 jesinsuja@gmail.com jesinsuja@gmail.com X cana-5311 8 1 2department 2department NUM cana-5311 8 2 of of ADP cana-5311 8 3 mathematics mathematic NOUN cana-5311 8 4 , , PUNCT cana-5311 8 5 college college NOUN cana-5311 8 6 of of ADP cana-5311 8 7 engineering engineering NOUN cana-5311 8 8 and and CCONJ cana-5311 8 9 technology technology NOUN cana-5311 8 10 , , PUNCT cana-5311 8 11 srm srm PROPN cana-5311 8 12 institute institute PROPN cana-5311 8 13 of of ADP cana-5311 8 14 science science NOUN cana-5311 8 15 and and CCONJ cana-5311 8 16 technology technology NOUN cana-5311 8 17 , , PUNCT cana-5311 8 18 srm srm NOUN cana-5311 8 19 nagar nagar NOUN cana-5311 8 20 , , PUNCT cana-5311 8 21 kattankulathur kattankulathur PROPN cana-5311 8 22 603203 603203 NUM cana-5311 8 23 , , PUNCT cana-5311 8 24 chengalpattu chengalpattu ADJ cana-5311 8 25 district district NOUN cana-5311 8 26 , , PUNCT cana-5311 8 27 tamilnadu tamilnadu PROPN cana-5311 8 28 , , PUNCT cana-5311 8 29 india india PROPN cana-5311 8 30 r.aruljeeva@gmail.com r.aruljeeva@gmail.com PROPN cana-5311 8 31 4associate 4associate PROPN cana-5311 8 32 professor professor NOUN cana-5311 8 33 , , PUNCT cana-5311 8 34 department department NOUN cana-5311 8 35 of of ADP cana-5311 8 36 mathematics mathematics PROPN cana-5311 8 37 , , PUNCT cana-5311 8 38 aditya aditya PROPN cana-5311 8 39 university university PROPN cana-5311 8 40 , , PUNCT cana-5311 8 41 surampalem surampalem NOUN cana-5311 8 42 , , PUNCT cana-5311 8 43 india india PROPN cana-5311 8 44 , , PUNCT cana-5311 8 45 srikanth.m@aec.edu.in srikanth.m@aec.edu.in PROPN cana-5311 8 46 5assistant 5assistant NUM cana-5311 8 47 professor professor NOUN cana-5311 8 48 , , PUNCT cana-5311 8 49 dept dept NOUN cana-5311 8 50 of of ADP cana-5311 8 51 petroleum petroleum NOUN cana-5311 8 52 technology technology NOUN cana-5311 8 53 , , PUNCT cana-5311 8 54 aditya aditya PROPN cana-5311 8 55 university university PROPN cana-5311 8 56 , , PUNCT cana-5311 8 57 surampalem surampalem NOUN cana-5311 8 58 , , PUNCT cana-5311 8 59 india india PROPN cana-5311 8 60 , , PUNCT cana-5311 8 61 anilkumar.t@aec.edu.in anilkumar.t@aec.edu.in PROPN cana-5311 8 62 article article NOUN cana-5311 8 63 history history NOUN cana-5311 8 64 : : PUNCT cana-5311 8 65 received receive VERB cana-5311 8 66 : : PUNCT cana-5311 8 67 12 12 NUM cana-5311 8 68 - - SYM cana-5311 8 69 11 11 NUM cana-5311 8 70 - - SYM cana-5311 8 71 2023 2023 NUM cana-5311 8 72 revised revise VERB cana-5311 8 73 : : PUNCT cana-5311 8 74 15 15 NUM cana-5311 8 75 - - SYM cana-5311 8 76 12 12 NUM cana-5311 8 77 - - PUNCT cana-5311 8 78 2023 2023 NUM cana-5311 8 79 accepted accept VERB cana-5311 8 80 : : PUNCT cana-5311 8 81 19 19 NUM cana-5311 8 82 - - PUNCT cana-5311 8 83 01 01 NUM cana-5311 8 84 - - PUNCT cana-5311 8 85 2024 2024 NUM cana-5311 8 86 abstract abstract NOUN cana-5311 8 87 : : PUNCT cana-5311 8 88 social social ADJ cana-5311 8 89 networks network NOUN cana-5311 8 90 that that PRON cana-5311 8 91 exist exist VERB cana-5311 8 92 in in ADP cana-5311 8 93 real real ADJ cana-5311 8 94 - - PUNCT cana-5311 8 95 life life NOUN cana-5311 8 96 and and CCONJ cana-5311 8 97 virtual virtual ADJ cana-5311 8 98 spaces space NOUN cana-5311 8 99 show show VERB cana-5311 8 100 complex complex ADJ cana-5311 8 101 structures structure NOUN cana-5311 8 102 from from ADP cana-5311 8 103 entity entity NOUN cana-5311 8 104 - - PUNCT cana-5311 8 105 to to ADP cana-5311 8 106 - - PUNCT cana-5311 8 107 entity entity NOUN cana-5311 8 108 connections connection NOUN cana-5311 8 109 . . PUNCT cana-5311 9 1 the the DET cana-5311 9 2 paper paper NOUN cana-5311 9 3 demonstrates demonstrate VERB cana-5311 9 4 optimization optimization NOUN cana-5311 9 5 methods method NOUN cana-5311 9 6 which which PRON cana-5311 9 7 target target VERB cana-5311 9 8 graph graph NOUN cana-5311 9 9 theory theory NOUN cana-5311 9 10 algorithms algorithm NOUN cana-5311 9 11 for for ADP cana-5311 9 12 social social ADJ cana-5311 9 13 network network NOUN cana-5311 9 14 analysis analysis NOUN cana-5311 9 15 ( ( PUNCT cana-5311 9 16 sna sna PROPN cana-5311 9 17 ) ) PUNCT cana-5311 9 18 to to PART cana-5311 9 19 improve improve VERB cana-5311 9 20 their their PRON cana-5311 9 21 performance performance NOUN cana-5311 9 22 effectiveness effectiveness NOUN cana-5311 9 23 . . PUNCT cana-5311 10 1 the the DET cana-5311 10 2 research research NOUN cana-5311 10 3 evaluates evaluate NOUN cana-5311 10 4 optimized optimize VERB cana-5311 10 5 algorithms algorithm NOUN cana-5311 10 6 through through ADP cana-5311 10 7 a a DET cana-5311 10 8 comparison comparison NOUN cana-5311 10 9 with with ADP cana-5311 10 10 standard standard ADJ cana-5311 10 11 techniques technique NOUN cana-5311 10 12 while while SCONJ cana-5311 10 13 processing process VERB cana-5311 10 14 large large ADJ cana-5311 10 15 - - PUNCT cana-5311 10 16 scale scale NOUN cana-5311 10 17 data datum NOUN cana-5311 10 18 collections collection NOUN cana-5311 10 19 . . PUNCT cana-5311 11 1 the the DET cana-5311 11 2 analytical analytical ADJ cana-5311 11 3 methods method NOUN cana-5311 11 4 produce produce VERB cana-5311 11 5 substantial substantial ADJ cana-5311 11 6 enhancements enhancement NOUN cana-5311 11 7 of of ADP cana-5311 11 8 computation computation NOUN cana-5311 11 9 speed speed NOUN cana-5311 11 10 along along ADP cana-5311 11 11 with with ADP cana-5311 11 12 memory memory NOUN cana-5311 11 13 management management NOUN cana-5311 11 14 and and CCONJ cana-5311 11 15 precision precision NOUN cana-5311 11 16 handling handle VERB cana-5311 11 17 capabilities capability NOUN cana-5311 11 18 which which PRON cana-5311 11 19 enables enable VERB cana-5311 11 20 scalable scalable ADJ cana-5311 11 21 real real ADJ cana-5311 11 22 - - PUNCT cana-5311 11 23 time time NOUN cana-5311 11 24 social social ADJ cana-5311 11 25 network network NOUN cana-5311 11 26 analysis analysis NOUN cana-5311 11 27 . . PUNCT cana-5311 12 1 keywords keyword NOUN cana-5311 12 2 β€” β€” PUNCT cana-5311 12 3 graph graph NOUN cana-5311 12 4 theory theory NOUN cana-5311 12 5 ; ; PUNCT cana-5311 12 6 social social ADJ cana-5311 12 7 network network NOUN cana-5311 12 8 analysis analysis NOUN cana-5311 12 9 ; ; PUNCT cana-5311 12 10 algorithm algorithm NOUN cana-5311 12 11 optimization optimization NOUN cana-5311 12 12 ; ; PUNCT cana-5311 12 13 community community NOUN cana-5311 12 14 detection detection NOUN cana-5311 12 15 ; ; PUNCT cana-5311 12 16 centrality centrality NOUN cana-5311 12 17 measures measure NOUN cana-5311 12 18 ; ; PUNCT cana-5311 12 19 heuristic heuristic ADJ cana-5311 12 20 methods method NOUN cana-5311 12 21 ; ; PUNCT cana-5311 12 22 big big ADJ cana-5311 12 23 data datum NOUN cana-5311 12 24 analytics analytic NOUN cana-5311 12 25 ; ; PUNCT cana-5311 12 26 network network NOUN cana-5311 12 27 sparsification sparsification NOUN cana-5311 12 28 . . PUNCT cana-5311 13 1 i. i. PROPN cana-5311 13 2 introduction introduction PROPN cana-5311 13 3 social social ADJ cana-5311 13 4 networks network NOUN cana-5311 13 5 study study NOUN cana-5311 13 6 has have AUX cana-5311 13 7 gained gain VERB cana-5311 13 8 immense immense ADJ cana-5311 13 9 importance importance NOUN cana-5311 13 10 because because SCONJ cana-5311 13 11 it it PRON cana-5311 13 12 helps help VERB cana-5311 13 13 explain explain VERB cana-5311 13 14 human human ADJ cana-5311 13 15 conduct conduct NOUN cana-5311 13 16 and and CCONJ cana-5311 13 17 message message NOUN cana-5311 13 18 transmission transmission NOUN cana-5311 13 19 while while SCONJ cana-5311 13 20 shaping shape VERB cana-5311 13 21 public public ADJ cana-5311 13 22 ideas idea NOUN cana-5311 13 23 and and CCONJ cana-5311 13 24 disease disease NOUN cana-5311 13 25 diffusion diffusion NOUN cana-5311 13 26 patterns pattern NOUN cana-5311 13 27 . . PUNCT cana-5311 14 1 the the DET cana-5311 14 2 number number NOUN cana-5311 14 3 of of ADP cana-5311 14 4 social social ADJ cana-5311 14 5 networks network NOUN cana-5311 14 6 grew grow VERB cana-5311 14 7 substantially substantially ADV cana-5311 14 8 due due ADJ cana-5311 14 9 to to ADP cana-5311 14 10 online online ADJ cana-5311 14 11 platforms platform NOUN cana-5311 14 12 such such ADJ cana-5311 14 13 as as ADP cana-5311 14 14 facebook facebook NOUN cana-5311 14 15 along along ADP cana-5311 14 16 with with ADP cana-5311 14 17 twitter twitter NOUN cana-5311 14 18 and and CCONJ cana-5311 14 19 linkedin linkedin NOUN cana-5311 14 20 and and CCONJ cana-5311 14 21 instagram instagram PROPN cana-5311 14 22 . . PUNCT cana-5311 15 1 the the DET cana-5311 15 2 differences difference NOUN cana-5311 15 3 between between ADP cana-5311 15 4 theoretical theoretical ADJ cana-5311 15 5 and and CCONJ cana-5311 15 6 practical practical ADJ cana-5311 15 7 analysis analysis NOUN cana-5311 15 8 of of ADP cana-5311 15 9 social social ADJ cana-5311 15 10 network network NOUN cana-5311 15 11 analysis analysis NOUN cana-5311 15 12 ( ( PUNCT cana-5311 15 13 sna sna NOUN cana-5311 15 14 ) ) PUNCT cana-5311 15 15 call call VERB cana-5311 15 16 for for ADP cana-5311 15 17 immediate immediate ADJ cana-5311 15 18 optimizations optimization NOUN cana-5311 15 19 suited suit VERB cana-5311 15 20 for for ADP cana-5311 15 21 sna sna PROPN cana-5311 15 22 's 's PART cana-5311 15 23 specific specific ADJ cana-5311 15 24 demands demand NOUN cana-5311 15 25 [ [ X cana-5311 15 26 1 1 NUM cana-5311 15 27 ] ] PUNCT cana-5311 15 28 . . PUNCT cana-5311 16 1 the the DET cana-5311 16 2 foundation foundation NOUN cana-5311 16 3 of of ADP cana-5311 16 4 sna sna PROPN cana-5311 16 5 depends depend VERB cana-5311 16 6 on on ADP cana-5311 16 7 graph graph NOUN cana-5311 16 8 theory theory NOUN cana-5311 16 9 as as SCONJ cana-5311 16 10 it it PRON cana-5311 16 11 uses use VERB cana-5311 16 12 entities entity NOUN cana-5311 16 13 as as ADP cana-5311 16 14 nodes node NOUN cana-5311 16 15 and and CCONJ cana-5311 16 16 their their PRON cana-5311 16 17 connections connection NOUN cana-5311 16 18 as as ADP cana-5311 16 19 edges edge NOUN cana-5311 16 20 . . PUNCT cana-5311 17 1 graph graph NOUN cana-5311 17 2 algorithms algorithm NOUN cana-5311 17 3 enable enable VERB cana-5311 17 4 identification identification NOUN cana-5311 17 5 of of ADP cana-5311 17 6 key key ADJ cana-5311 17 7 users user NOUN cana-5311 17 8 through through ADP cana-5311 17 9 centrality centrality NOUN cana-5311 17 10 analyses analysis NOUN cana-5311 17 11 and and CCONJ cana-5311 17 12 detection detection NOUN cana-5311 17 13 of of ADP cana-5311 17 14 tight tight ADJ cana-5311 17 15 community community NOUN cana-5311 17 16 networks network NOUN cana-5311 17 17 together together ADV cana-5311 17 18 with with ADP cana-5311 17 19 calculation calculation NOUN cana-5311 17 20 of of ADP cana-5311 17 21 the the DET cana-5311 17 22 minimum minimum ADJ cana-5311 17 23 links link NOUN cana-5311 17 24 between between ADP cana-5311 17 25 users user NOUN cana-5311 17 26 . . PUNCT cana-5311 18 1 most most ADJ cana-5311 18 2 classical classical ADJ cana-5311 18 3 algorithms algorithm NOUN cana-5311 18 4 stop stop VERB cana-5311 18 5 functioning function VERB cana-5311 18 6 well well ADV cana-5311 18 7 when when SCONJ cana-5311 18 8 applied apply VERB cana-5311 18 9 to to ADP cana-5311 18 10 networks network NOUN cana-5311 18 11 which which PRON cana-5311 18 12 contain contain VERB cana-5311 18 13 many many ADJ cana-5311 18 14 millions million NOUN cana-5311 18 15 or or CCONJ cana-5311 18 16 billions billion NOUN cana-5311 18 17 of of ADP cana-5311 18 18 nodes node NOUN cana-5311 18 19 and and CCONJ cana-5311 18 20 edges edge NOUN cana-5311 18 21 because because SCONJ cana-5311 18 22 they they PRON cana-5311 18 23 were be AUX cana-5311 18 24 made make VERB cana-5311 18 25 for for ADP cana-5311 18 26 much much ADV cana-5311 18 27 smaller small ADJ cana-5311 18 28 graphs graph NOUN cana-5311 18 29 . . PUNCT cana-5311 19 1 communications communication NOUN cana-5311 19 2 on on ADP cana-5311 19 3 applied apply VERB cana-5311 19 4 nonlinear nonlinear ADJ cana-5311 19 5 analysis analysis NOUN cana-5311 19 6 issn issn NOUN cana-5311 19 7 : : PUNCT cana-5311 19 8 1074 1074 NUM cana-5311 19 9 - - PUNCT cana-5311 19 10 133x 133x NUM cana-5311 19 11 vol vol NOUN cana-5311 19 12 31 31 NUM cana-5311 19 13 no no NOUN cana-5311 19 14 . . PUNCT cana-5311 20 1 6s 6s NUM cana-5311 20 2 ( ( PUNCT cana-5311 20 3 2024 2024 NUM cana-5311 20 4 ) ) PUNCT cana-5311 20 5 743 743 NUM cana-5311 20 6 https://internationalpubls.com https://internationalpubls.com X cana-5311 20 7 the the DET cana-5311 20 8 topology topology NOUN cana-5311 20 9 of of ADP cana-5311 20 10 actual actual ADJ cana-5311 20 11 social social ADJ cana-5311 20 12 networks network NOUN cana-5311 20 13 behaves behave VERB cana-5311 20 14 in in ADP cana-5311 20 15 a a DET cana-5311 20 16 dynamic dynamic ADJ cana-5311 20 17 fashion fashion NOUN cana-5311 20 18 instead instead ADV cana-5311 20 19 of of ADP cana-5311 20 20 maintaining maintain VERB cana-5311 20 21 stability stability NOUN cana-5311 20 22 . . PUNCT cana-5311 21 1 continuous continuous ADJ cana-5311 21 2 new new ADJ cana-5311 21 3 relationship relationship NOUN cana-5311 21 4 formations formation NOUN cana-5311 21 5 occur occur VERB cana-5311 21 6 while while SCONJ cana-5311 21 7 existing exist VERB cana-5311 21 8 ones one NOUN cana-5311 21 9 terminate terminate VERB cana-5311 21 10 because because SCONJ cana-5311 21 11 network network NOUN cana-5311 21 12 topological topological ADJ cana-5311 21 13 changes change NOUN cana-5311 21 14 occur occur VERB cana-5311 21 15 quickly quickly ADV cana-5311 21 16 . . PUNCT cana-5311 22 1 such such ADJ cana-5311 22 2 dynamic dynamic ADJ cana-5311 22 3 environments environment NOUN cana-5311 22 4 make make VERB cana-5311 22 5 static static ADJ cana-5311 22 6 algorithms algorithm NOUN cana-5311 22 7 unusable unusable ADJ cana-5311 22 8 since since SCONJ cana-5311 22 9 they they PRON cana-5311 22 10 require require VERB cana-5311 22 11 complete complete ADJ cana-5311 22 12 recalculation recalculation NOUN cana-5311 22 13 of of ADP cana-5311 22 14 results result NOUN cana-5311 22 15 whenever whenever SCONJ cana-5311 22 16 network network NOUN cana-5311 22 17 conditions condition NOUN cana-5311 22 18 alter alter VERB cana-5311 23 1 [ [ X cana-5311 23 2 13 13 NUM cana-5311 23 3 - - SYM cana-5311 23 4 15 15 NUM cana-5311 23 5 ] ] PUNCT cana-5311 23 6 . . PUNCT cana-5311 24 1 social social ADJ cana-5311 24 2 networks network NOUN cana-5311 24 3 present present VERB cana-5311 24 4 two two NUM cana-5311 24 5 main main ADJ cana-5311 24 6 difficulties difficulty NOUN cana-5311 24 7 because because SCONJ cana-5311 24 8 their their PRON cana-5311 24 9 data data NOUN cana-5311 24 10 is be AUX cana-5311 24 11 both both PRON cana-5311 24 12 infrequently infrequently ADV cana-5311 24 13 connected connect VERB cana-5311 24 14 and and CCONJ cana-5311 24 15 filled fill VERB cana-5311 24 16 with with ADP cana-5311 24 17 measurement measurement NOUN cana-5311 24 18 errors error NOUN cana-5311 24 19 . . PUNCT cana-5311 25 1 the the DET cana-5311 25 2 theoretical theoretical ADJ cana-5311 25 3 connection connection NOUN cana-5311 25 4 possibilities possibility NOUN cana-5311 25 5 between between ADP cana-5311 25 6 nodes node NOUN cana-5311 25 7 rise rise VERB cana-5311 25 8 quadratic quadratic ADJ cana-5311 25 9 ally ally NOUN cana-5311 25 10 but but CCONJ cana-5311 25 11 actual actual ADJ cana-5311 25 12 nodes node NOUN cana-5311 25 13 connect connect VERB cana-5311 25 14 to to ADP cana-5311 25 15 only only ADV cana-5311 25 16 several several ADJ cana-5311 25 17 members member NOUN cana-5311 25 18 of of ADP cana-5311 25 19 the the DET cana-5311 25 20 network network NOUN cana-5311 25 21 . . PUNCT cana-5311 26 1 the the DET cana-5311 26 2 properties property NOUN cana-5311 26 3 of of ADP cana-5311 26 4 sparseness sparseness ADJ cana-5311 26 5 present present ADJ cana-5311 26 6 an an DET cana-5311 26 7 optimization optimization NOUN cana-5311 26 8 opportunity opportunity NOUN cana-5311 26 9 yet yet ADV cana-5311 26 10 make make VERB cana-5311 26 11 it it PRON cana-5311 26 12 problematic problematic ADJ cana-5311 26 13 to to PART cana-5311 26 14 maintain maintain VERB cana-5311 26 15 fundamental fundamental ADJ cana-5311 26 16 network network NOUN cana-5311 26 17 features feature NOUN cana-5311 26 18 when when SCONJ cana-5311 26 19 conducting conduct VERB cana-5311 26 20 sparse sparse ADJ cana-5311 26 21 representations representation NOUN cana-5311 26 22 . . PUNCT cana-5311 27 1 the the DET cana-5311 27 2 current current ADJ cana-5311 27 3 optimization optimization NOUN cana-5311 27 4 solutions solution NOUN cana-5311 27 5 demonstrate demonstrate VERB cana-5311 27 6 positive positive ADJ cana-5311 27 7 results result NOUN cana-5311 27 8 . . PUNCT cana-5311 28 1 the the DET cana-5311 28 2 current current ADJ cana-5311 28 3 methods method NOUN cana-5311 28 4 primarily primarily ADV cana-5311 28 5 focus focus VERB cana-5311 28 6 on on ADP cana-5311 28 7 optimizing optimize VERB cana-5311 28 8 certain certain ADJ cana-5311 28 9 issues issue NOUN cana-5311 28 10 or or CCONJ cana-5311 28 11 datasets dataset NOUN cana-5311 28 12 but but CCONJ cana-5311 28 13 an an DET cana-5311 28 14 overall overall ADJ cana-5311 28 15 approach approach NOUN cana-5311 28 16 to to PART cana-5311 28 17 enhance enhance VERB cana-5311 28 18 various various ADJ cana-5311 28 19 graph graph NOUN cana-5311 28 20 algorithm algorithm NOUN cana-5311 28 21 performance performance NOUN cana-5311 28 22 in in ADP cana-5311 28 23 social social ADJ cana-5311 28 24 network network NOUN cana-5311 28 25 analysis analysis NOUN cana-5311 28 26 remains remains AUX cana-5311 28 27 needed need VERB cana-5311 28 28 . . PUNCT cana-5311 29 1 the the DET cana-5311 29 2 resolution resolution NOUN cana-5311 29 3 of of ADP cana-5311 29 4 the the DET cana-5311 29 5 identified identify VERB cana-5311 29 6 questions question NOUN cana-5311 29 7 holds hold VERB cana-5311 29 8 essential essential ADJ cana-5311 29 9 value value NOUN cana-5311 29 10 because because SCONJ cana-5311 29 11 it it PRON cana-5311 29 12 supports support VERB cana-5311 29 13 academic academic ADJ cana-5311 29 14 research research NOUN cana-5311 29 15 and and CCONJ cana-5311 29 16 applications application NOUN cana-5311 29 17 within within ADP cana-5311 29 18 industries industry NOUN cana-5311 29 19 . . PUNCT cana-5311 30 1 companies company NOUN cana-5311 30 2 extract extract VERB cana-5311 30 3 real real ADJ cana-5311 30 4 - - PUNCT cana-5311 30 5 time time NOUN cana-5311 30 6 social social ADJ cana-5311 30 7 media media NOUN cana-5311 30 8 patterns pattern NOUN cana-5311 30 9 as as ADP cana-5311 30 10 a a DET cana-5311 30 11 basis basis NOUN cana-5311 30 12 for for ADP cana-5311 30 13 their their PRON cana-5311 30 14 operations operation NOUN cana-5311 30 15 while while SCONJ cana-5311 30 16 public public ADJ cana-5311 30 17 health health NOUN cana-5311 30 18 monitoring monitoring NOUN cana-5311 30 19 tracks track VERB cana-5311 30 20 information information NOUN cana-5311 30 21 and and CCONJ cana-5311 30 22 misinformation misinformation NOUN cana-5311 30 23 during during ADP cana-5311 30 24 global global ADJ cana-5311 30 25 outbreaks outbreak NOUN cana-5311 30 26 and and CCONJ cana-5311 30 27 government government NOUN cana-5311 30 28 agencies agency NOUN cana-5311 30 29 measure measure VERB cana-5311 30 30 public public ADJ cana-5311 30 31 sentiment sentiment NOUN cana-5311 30 32 and and CCONJ cana-5311 30 33 across across ADP cana-5311 30 34 research research NOUN cana-5311 30 35 disciplines discipline NOUN cana-5311 30 36 seek seek VERB cana-5311 30 37 networked networked ADJ cana-5311 30 38 structures structure NOUN cana-5311 31 1 [ [ X cana-5311 31 2 2 2 NUM cana-5311 31 3 ] ] PUNCT cana-5311 31 4 . . PUNCT cana-5311 32 1 novelty novelty NOUN cana-5311 32 2 and and CCONJ cana-5311 32 3 contribution contribution NOUN cana-5311 32 4 the the DET cana-5311 32 5 research research NOUN cana-5311 32 6 presents present VERB cana-5311 32 7 an an DET cana-5311 32 8 organized organized ADJ cana-5311 32 9 method method NOUN cana-5311 32 10 which which PRON cana-5311 32 11 enhances enhance VERB cana-5311 32 12 graph graph NOUN cana-5311 32 13 theory theory NOUN cana-5311 32 14 algorithms algorithm NOUN cana-5311 32 15 dedicated dedicate VERB cana-5311 32 16 to to ADP cana-5311 32 17 social social ADJ cana-5311 32 18 network network NOUN cana-5311 32 19 analysis analysis NOUN cana-5311 32 20 to to PART cana-5311 32 21 fill fill VERB cana-5311 32 22 an an DET cana-5311 32 23 essential essential ADJ cana-5311 32 24 void void NOUN cana-5311 32 25 in in ADP cana-5311 32 26 existing exist VERB cana-5311 32 27 scholarship scholarship NOUN cana-5311 32 28 . . PUNCT cana-5311 33 1 this this DET cana-5311 33 2 research research NOUN cana-5311 33 3 offers offer VERB cana-5311 33 4 its its PRON cana-5311 33 5 main main ADJ cana-5311 33 6 contribution contribution NOUN cana-5311 33 7 by by ADP cana-5311 33 8 uniting unite VERB cana-5311 33 9 four four NUM cana-5311 33 10 essential essential ADJ cana-5311 33 11 optimization optimization NOUN cana-5311 33 12 strategies strategy NOUN cana-5311 33 13 including include VERB cana-5311 33 14 heuristic heuristic ADJ cana-5311 33 15 enhancements enhancement NOUN cana-5311 33 16 with with ADP cana-5311 33 17 parallelism parallelism NOUN cana-5311 33 18 and and CCONJ cana-5311 33 19 graph graph NOUN cana-5311 33 20 sparsification sparsification NOUN cana-5311 33 21 and and CCONJ cana-5311 33 22 probabilistic probabilistic ADJ cana-5311 33 23 approximations approximation NOUN cana-5311 33 24 into into ADP cana-5311 33 25 one one NUM cana-5311 33 26 framework framework NOUN cana-5311 33 27 which which PRON cana-5311 33 28 optimizes optimize VERB cana-5311 33 29 basic basic ADJ cana-5311 33 30 sna sna PROPN cana-5311 33 31 algorithms algorithm NOUN cana-5311 33 32 . . PUNCT cana-5311 34 1 our our PRON cana-5311 34 2 approach approach NOUN cana-5311 34 3 develops develop VERB cana-5311 34 4 an an DET cana-5311 34 5 integrated integrate VERB cana-5311 34 6 system system NOUN cana-5311 34 7 for for ADP cana-5311 34 8 methodology methodology NOUN cana-5311 34 9 that that PRON cana-5311 34 10 enhances enhance VERB cana-5311 34 11 numerous numerous ADJ cana-5311 34 12 algorithm algorithm NOUN cana-5311 34 13 types type NOUN cana-5311 34 14 found find VERB cana-5311 34 15 in in ADP cana-5311 34 16 shortest short ADJ cana-5311 34 17 path path NOUN cana-5311 34 18 operations operation NOUN cana-5311 34 19 and and CCONJ cana-5311 34 20 network network NOUN cana-5311 34 21 centrality centrality NOUN cana-5311 34 22 analysis analysis NOUN cana-5311 34 23 and and CCONJ cana-5311 34 24 community community NOUN cana-5311 34 25 discovery discovery NOUN cana-5311 34 26 [ [ X cana-5311 34 27 3 3 NUM cana-5311 34 28 ] ] PUNCT cana-5311 34 29 . . PUNCT cana-5311 35 1 the the DET cana-5311 35 2 methodology methodology NOUN cana-5311 35 3 puts put VERB cana-5311 35 4 forward forward ADV cana-5311 35 5 another another DET cana-5311 35 6 essential essential ADJ cana-5311 35 7 contribution contribution NOUN cana-5311 35 8 by by ADP cana-5311 35 9 prioritizing prioritize VERB cana-5311 35 10 both both PRON cana-5311 35 11 analytical analytical ADJ cana-5311 35 12 accuracy accuracy NOUN cana-5311 35 13 and and CCONJ cana-5311 35 14 computational computational ADJ cana-5311 35 15 efficiency efficiency NOUN cana-5311 35 16 in in ADP cana-5311 35 17 the the DET cana-5311 35 18 process process NOUN cana-5311 35 19 . . PUNCT cana-5311 36 1 the the DET cana-5311 36 2 team team NOUN cana-5311 36 3 understands understand VERB cana-5311 36 4 optimization optimization NOUN cana-5311 36 5 creates create VERB cana-5311 36 6 situations situation NOUN cana-5311 36 7 where where SCONJ cana-5311 36 8 compromises compromise NOUN cana-5311 36 9 need need VERB cana-5311 36 10 to to PART cana-5311 36 11 be be AUX cana-5311 36 12 made make VERB cana-5311 36 13 which which PRON cana-5311 36 14 we we PRON cana-5311 36 15 analyze analyze VERB cana-5311 36 16 through through ADP cana-5311 36 17 specific specific ADJ cana-5311 36 18 quantifications quantification NOUN cana-5311 36 19 of of ADP cana-5311 36 20 computation computation NOUN cana-5311 36 21 duration duration NOUN cana-5311 36 22 and and CCONJ cana-5311 36 23 memory memory NOUN cana-5311 36 24 usage usage NOUN cana-5311 36 25 coupled couple VERB cana-5311 36 26 with with ADP cana-5311 36 27 ground ground NOUN cana-5311 36 28 - - PUNCT cana-5311 36 29 truth truth NOUN cana-5311 36 30 analytical analytical ADJ cana-5311 36 31 discrepancy discrepancy NOUN cana-5311 36 32 . . PUNCT cana-5311 37 1 the the DET cana-5311 37 2 research research NOUN cana-5311 37 3 generates generate VERB cana-5311 37 4 operational operational ADJ cana-5311 37 5 advice advice NOUN cana-5311 37 6 to to PART cana-5311 37 7 assist assist VERB cana-5311 37 8 decision decision NOUN cana-5311 37 9 - - PUNCT cana-5311 37 10 makers maker NOUN cana-5311 37 11 among among ADP cana-5311 37 12 practitioners practitioner NOUN cana-5311 37 13 who who PRON cana-5311 37 14 need need VERB cana-5311 37 15 data data NOUN cana-5311 37 16 - - PUNCT cana-5311 37 17 driven drive VERB cana-5311 37 18 solutions solution NOUN cana-5311 37 19 based base VERB cana-5311 37 20 on on ADP cana-5311 37 21 their their PRON cana-5311 37 22 context context NOUN cana-5311 37 23 requirements requirement NOUN cana-5311 37 24 . . PUNCT cana-5311 38 1 the the DET cana-5311 38 2 framework framework NOUN cana-5311 38 3 includes include VERB cana-5311 38 4 various various ADJ cana-5311 38 5 benchmarking benchmarke VERB cana-5311 38 6 tools tool NOUN cana-5311 38 7 which which PRON cana-5311 38 8 utilize utilize VERB cana-5311 38 9 both both DET cana-5311 38 10 realistic realistic ADJ cana-5311 38 11 social social ADJ cana-5311 38 12 network network NOUN cana-5311 38 13 datasets dataset NOUN cana-5311 38 14 together together ADV cana-5311 38 15 with with ADP cana-5311 38 16 lab lab NOUN cana-5311 38 17 - - PUNCT cana-5311 38 18 generated generate VERB cana-5311 38 19 network network NOUN cana-5311 38 20 topologies topology NOUN cana-5311 38 21 that that PRON cana-5311 38 22 match match VERB cana-5311 38 23 small small ADJ cana-5311 38 24 - - PUNCT cana-5311 38 25 world world NOUN cana-5311 38 26 and and CCONJ cana-5311 38 27 scale scale NOUN cana-5311 38 28 - - PUNCT cana-5311 38 29 free free ADJ cana-5311 38 30 topology topology NOUN cana-5311 38 31 characteristics characteristic NOUN cana-5311 38 32 . . PUNCT cana-5311 39 1 our our PRON cana-5311 39 2 suite suite NOUN cana-5311 39 3 provides provide VERB cana-5311 39 4 multiple multiple ADJ cana-5311 39 5 conditions condition NOUN cana-5311 39 6 and and CCONJ cana-5311 39 7 real real ADJ cana-5311 39 8 - - PUNCT cana-5311 39 9 life life NOUN cana-5311 39 10 scenarios scenario NOUN cana-5311 39 11 for for ADP cana-5311 39 12 evaluation evaluation NOUN cana-5311 39 13 of of ADP cana-5311 39 14 optimization optimization NOUN cana-5311 39 15 strategies strategy NOUN cana-5311 39 16 which which PRON cana-5311 39 17 increases increase VERB cana-5311 39 18 the the DET cana-5311 39 19 overall overall ADJ cana-5311 39 20 generalization generalization NOUN cana-5311 39 21 of of ADP cana-5311 39 22 our our PRON cana-5311 39 23 research research NOUN cana-5311 39 24 outcomes outcome NOUN cana-5311 39 25 [ [ X cana-5311 39 26 5 5 NUM cana-5311 39 27 ] ] PUNCT cana-5311 39 28 . . PUNCT cana-5311 40 1 a a DET cana-5311 40 2 set set NOUN cana-5311 40 3 of of ADP cana-5311 40 4 operational operational ADJ cana-5311 40 5 decisions decision NOUN cana-5311 40 6 with with ADP cana-5311 40 7 guidelines guideline NOUN cana-5311 40 8 exists exist VERB cana-5311 40 9 to to PART cana-5311 40 10 determine determine VERB cana-5311 40 11 the the DET cana-5311 40 12 optimum optimum ADJ cana-5311 40 13 optimization optimization NOUN cana-5311 40 14 method method NOUN cana-5311 40 15 selection selection NOUN cana-5311 40 16 according accord VERB cana-5311 40 17 to to ADP cana-5311 40 18 network network NOUN cana-5311 40 19 dimensions dimension NOUN cana-5311 40 20 and and CCONJ cana-5311 40 21 density density NOUN cana-5311 40 22 characteristics characteristic NOUN cana-5311 40 23 and and CCONJ cana-5311 40 24 active active ADJ cana-5311 40 25 network network NOUN cana-5311 40 26 modifications modification NOUN cana-5311 40 27 . . PUNCT cana-5311 41 1 the the DET cana-5311 41 2 decision decision NOUN cana-5311 41 3 - - PUNCT cana-5311 41 4 making make VERB cana-5311 41 5 framework framework NOUN cana-5311 41 6 enables enable VERB cana-5311 41 7 users user NOUN cana-5311 41 8 to to PART cana-5311 41 9 optimize optimize VERB cana-5311 41 10 their their PRON cana-5311 41 11 processes process NOUN cana-5311 41 12 more more ADV cana-5311 41 13 precisely precisely ADV cana-5311 41 14 thus thus ADV cana-5311 41 15 leading lead VERB cana-5311 41 16 to to ADP cana-5311 41 17 enhanced enhance VERB cana-5311 41 18 results result NOUN cana-5311 41 19 when when SCONJ cana-5311 41 20 handling handle VERB cana-5311 41 21 real real ADJ cana-5311 41 22 - - PUNCT cana-5311 41 23 life life NOUN cana-5311 41 24 sna sna PROPN cana-5311 41 25 situations situation NOUN cana-5311 41 26 . . PUNCT cana-5311 42 1 communications communication NOUN cana-5311 42 2 on on ADP cana-5311 42 3 applied apply VERB cana-5311 42 4 nonlinear nonlinear ADJ cana-5311 42 5 analysis analysis NOUN cana-5311 42 6 issn issn NOUN cana-5311 42 7 : : PUNCT cana-5311 42 8 1074 1074 NUM cana-5311 42 9 - - PUNCT cana-5311 42 10 133x 133x NUM cana-5311 42 11 vol vol NOUN cana-5311 42 12 31 31 NUM cana-5311 42 13 no no NOUN cana-5311 42 14 . . PUNCT cana-5311 43 1 6s 6s NUM cana-5311 43 2 ( ( PUNCT cana-5311 43 3 2024 2024 NUM cana-5311 43 4 ) ) PUNCT cana-5311 43 5 744 744 NUM cana-5311 43 6 https://internationalpubls.com https://internationalpubls.com PROPN cana-5311 43 7 ii ii PROPN cana-5311 43 8 . . PROPN cana-5311 43 9 related relate VERB cana-5311 43 10 works work NOUN cana-5311 43 11 in in ADP cana-5311 43 12 2023 2023 NUM cana-5311 43 13 r. r. PROPN cana-5311 43 14 das das PROPN cana-5311 43 15 et.al et.al PROPN cana-5311 43 16 . . PUNCT cana-5311 44 1 and and CCONJ cana-5311 44 2 m. m. PROPN cana-5311 44 3 soylu soylu PROPN cana-5311 44 4 et.al et.al PROPN cana-5311 44 5 . . PUNCT cana-5311 44 6 , , PUNCT cana-5311 45 1 [ [ X cana-5311 45 2 12 12 NUM cana-5311 45 3 ] ] PUNCT cana-5311 45 4 introduced introduce VERB cana-5311 45 5 the the DET cana-5311 45 6 research research NOUN cana-5311 45 7 devoted devote VERB cana-5311 45 8 to to ADP cana-5311 45 9 maximizing maximize VERB cana-5311 45 10 graph graph NOUN cana-5311 45 11 theory theory NOUN cana-5311 45 12 algorithms algorithm NOUN cana-5311 45 13 for for ADP cana-5311 45 14 social social ADJ cana-5311 45 15 network network NOUN cana-5311 45 16 assessment assessment NOUN cana-5311 45 17 has have AUX cana-5311 45 18 evolved evolve VERB cana-5311 45 19 substantially substantially ADV cana-5311 45 20 during during ADP cana-5311 45 21 the the DET cana-5311 45 22 past past ADJ cana-5311 45 23 years year NOUN cana-5311 45 24 because because SCONJ cana-5311 45 25 of of ADP cana-5311 45 26 increasing increase VERB cana-5311 45 27 social social ADJ cana-5311 45 28 structure structure NOUN cana-5311 45 29 complexity complexity NOUN cana-5311 45 30 . . PUNCT cana-5311 46 1 the the DET cana-5311 46 2 initial initial ADJ cana-5311 46 3 research research NOUN cana-5311 46 4 established establish VERB cana-5311 46 5 core core NOUN cana-5311 46 6 methods method NOUN cana-5311 46 7 for for ADP cana-5311 46 8 analyzing analyze VERB cana-5311 46 9 community community NOUN cana-5311 46 10 organization organization NOUN cana-5311 46 11 as as ADV cana-5311 46 12 well well ADV cana-5311 46 13 as as ADP cana-5311 46 14 central central ADJ cana-5311 46 15 measure measure NOUN cana-5311 46 16 determination determination NOUN cana-5311 46 17 and and CCONJ cana-5311 46 18 path path NOUN cana-5311 46 19 distance distance NOUN cana-5311 46 20 calculations calculation NOUN cana-5311 46 21 . . PUNCT cana-5311 47 1 traditional traditional ADJ cana-5311 47 2 scalability scalability NOUN cana-5311 47 3 and and CCONJ cana-5311 47 4 performance performance NOUN cana-5311 47 5 issues issue NOUN cana-5311 47 6 emerged emerge VERB cana-5311 47 7 because because SCONJ cana-5311 47 8 of of ADP cana-5311 47 9 increasing increase VERB cana-5311 47 10 network network NOUN cana-5311 47 11 sizes size NOUN cana-5311 47 12 . . PUNCT cana-5311 48 1 multiple multiple ADJ cana-5311 48 2 researchers researcher NOUN cana-5311 48 3 implemented implement VERB cana-5311 48 4 various various ADJ cana-5311 48 5 optimization optimization NOUN cana-5311 48 6 approaches approach NOUN cana-5311 48 7 to to PART cana-5311 48 8 efficiently efficiently ADV cana-5311 48 9 deal deal VERB cana-5311 48 10 with with ADP cana-5311 48 11 big big ADJ cana-5311 48 12 data datum NOUN cana-5311 48 13 analytics analytic NOUN cana-5311 48 14 . . PUNCT cana-5311 49 1 graph graph NOUN cana-5311 49 2 scarification scarification NOUN cana-5311 49 3 represents represent VERB cana-5311 49 4 a a DET cana-5311 49 5 significant significant ADJ cana-5311 49 6 method method NOUN cana-5311 49 7 that that PRON cana-5311 49 8 removes remove VERB cana-5311 49 9 unnecessary unnecessary ADJ cana-5311 49 10 network network NOUN cana-5311 49 11 edges edge NOUN cana-5311 49 12 to to PART cana-5311 49 13 produce produce VERB cana-5311 49 14 a a DET cana-5311 49 15 smaller small ADJ cana-5311 49 16 equivalent equivalent ADJ cana-5311 49 17 network network NOUN cana-5311 49 18 . . PUNCT cana-5311 50 1 the the DET cana-5311 50 2 reduction reduction NOUN cana-5311 50 3 of of ADP cana-5311 50 4 unnecessary unnecessary ADJ cana-5311 50 5 edges edge NOUN cana-5311 50 6 in in ADP cana-5311 50 7 scarified scarified ADJ cana-5311 50 8 graphs graph NOUN cana-5311 50 9 preserves preserve VERB cana-5311 50 10 fundamental fundamental ADJ cana-5311 50 11 infrastructure infrastructure NOUN cana-5311 50 12 characteristics characteristic NOUN cana-5311 50 13 which which PRON cana-5311 50 14 leads lead VERB cana-5311 50 15 to to ADP cana-5311 50 16 faster fast ADJ cana-5311 50 17 calculations calculation NOUN cana-5311 50 18 together together ADV cana-5311 50 19 with with ADP cana-5311 50 20 reduced reduce VERB cana-5311 50 21 storage storage NOUN cana-5311 50 22 needs need NOUN cana-5311 50 23 . . PUNCT cana-5311 51 1 in in ADP cana-5311 51 2 2024 2024 NUM cana-5311 51 3 s. s. PROPN cana-5311 51 4 s. s. PROPN cana-5311 51 5 singh singh PROPN cana-5311 51 6 et.al et.al PROPN cana-5311 51 7 . . PROPN cana-5311 51 8 , , PUNCT cana-5311 51 9 s. s. PROPN cana-5311 51 10 muhuri muhuri PROPN cana-5311 51 11 et.al et.al PROPN cana-5311 51 12 . . PROPN cana-5311 51 13 , , PUNCT cana-5311 51 14 s. s. PROPN cana-5311 51 15 mishra mishra PROPN cana-5311 51 16 et.al et.al PROPN cana-5311 51 17 . . PROPN cana-5311 51 18 , , PUNCT cana-5311 51 19 d. d. PROPN cana-5311 51 20 srivastava srivastava PROPN cana-5311 51 21 et.al et.al PROPN cana-5311 51 22 . . PROPN cana-5311 51 23 , , PUNCT cana-5311 51 24 h. h. PROPN cana-5311 51 25 k. k. PROPN cana-5311 51 26 shakya shakya PROPN cana-5311 51 27 et.al et.al PROPN cana-5311 51 28 . . PROPN cana-5311 51 29 , , PUNCT cana-5311 51 30 and and CCONJ cana-5311 51 31 n. n. PROPN cana-5311 51 32 kumar kumar PROPN cana-5311 51 33 et.al et.al PROPN cana-5311 51 34 . . PUNCT cana-5311 51 35 , , PUNCT cana-5311 51 36 [ [ X cana-5311 51 37 6 6 NUM cana-5311 51 38 ] ] PUNCT cana-5311 51 39 suggested suggest VERB cana-5311 51 40 the the DET cana-5311 51 41 system system NOUN cana-5311 51 42 architecture architecture NOUN cana-5311 51 43 distributing distribute VERB cana-5311 51 44 graph graph NOUN cana-5311 51 45 computations computation NOUN cana-5311 51 46 to to ADP cana-5311 51 47 several several ADJ cana-5311 51 48 machines machine NOUN cana-5311 51 49 and and CCONJ cana-5311 51 50 processing processing NOUN cana-5311 51 51 units unit NOUN cana-5311 51 52 makes make VERB cana-5311 51 53 it it PRON cana-5311 51 54 possible possible ADJ cana-5311 51 55 to to PART cana-5311 51 56 analyze analyze VERB cana-5311 51 57 massive massive ADJ cana-5311 51 58 graphs graph NOUN cana-5311 51 59 exceeding exceed VERB cana-5311 51 60 millions million NOUN cana-5311 51 61 and and CCONJ cana-5311 51 62 billions billion NOUN cana-5311 51 63 of of ADP cana-5311 51 64 nodes node NOUN cana-5311 51 65 and and CCONJ cana-5311 51 66 edges edge NOUN cana-5311 51 67 . . PUNCT cana-5311 52 1 sampling sample VERB cana-5311 52 2 methods method NOUN cana-5311 52 3 receive receive VERB cana-5311 52 4 significant significant ADJ cana-5311 52 5 interest interest NOUN cana-5311 52 6 since since SCONJ cana-5311 52 7 they they PRON cana-5311 52 8 enable enable VERB cana-5311 52 9 processing processing NOUN cana-5311 52 10 of of ADP cana-5311 52 11 enormous enormous ADJ cana-5311 52 12 graphs graph NOUN cana-5311 52 13 when when SCONJ cana-5311 52 14 full full ADJ cana-5311 52 15 analysis analysis NOUN cana-5311 52 16 becomes become VERB cana-5311 52 17 impractical impractical ADJ cana-5311 52 18 . . PUNCT cana-5311 53 1 the the DET cana-5311 53 2 analysis analysis NOUN cana-5311 53 3 of of ADP cana-5311 53 4 sampled sample VERB cana-5311 53 5 nodes node NOUN cana-5311 53 6 together together ADV cana-5311 53 7 with with ADP cana-5311 53 8 edges edge NOUN cana-5311 53 9 and and CCONJ cana-5311 53 10 snowball snowball NOUN cana-5311 53 11 sampling sampling NOUN cana-5311 53 12 enables enable VERB cana-5311 53 13 approximate approximate ADJ cana-5311 53 14 calculations calculation NOUN cana-5311 53 15 to to PART cana-5311 53 16 produce produce VERB cana-5311 53 17 valuable valuable ADJ cana-5311 53 18 findings finding NOUN cana-5311 53 19 even even ADV cana-5311 53 20 when when SCONJ cana-5311 53 21 processing processing NOUN cana-5311 53 22 costs cost NOUN cana-5311 53 23 are be AUX cana-5311 53 24 reduced reduce VERB cana-5311 53 25 . . PUNCT cana-5311 54 1 careful careful ADJ cana-5311 54 2 method method NOUN cana-5311 54 3 design design NOUN cana-5311 54 4 produces produce VERB cana-5311 54 5 acceptable acceptable ADJ cana-5311 54 6 accuracy accuracy NOUN cana-5311 54 7 levels level NOUN cana-5311 54 8 while while SCONJ cana-5311 54 9 dealing deal VERB cana-5311 54 10 with with ADP cana-5311 54 11 trade trade NOUN cana-5311 54 12 - - PUNCT cana-5311 54 13 offs off NOUN cana-5311 54 14 that that PRON cana-5311 54 15 suit suit VERB cana-5311 54 16 most most ADV cana-5311 54 17 practical practical ADJ cana-5311 54 18 needs need NOUN cana-5311 54 19 . . PUNCT cana-5311 55 1 the the DET cana-5311 55 2 research research NOUN cana-5311 55 3 field field NOUN cana-5311 55 4 has have AUX cana-5311 55 5 directed direct VERB cana-5311 55 6 its its PRON cana-5311 55 7 focus focus NOUN cana-5311 55 8 toward toward ADP cana-5311 55 9 heuristic heuristic ADJ cana-5311 55 10 algorithm algorithm NOUN cana-5311 55 11 development development NOUN cana-5311 55 12 . . PUNCT cana-5311 56 1 the the DET cana-5311 56 2 problem problem NOUN cana-5311 56 3 - - PUNCT cana-5311 56 4 solving solve VERB cana-5311 56 5 process process NOUN cana-5311 56 6 becomes become VERB cana-5311 56 7 faster fast ADJ cana-5311 56 8 as as ADP cana-5311 56 9 greedy greedy ADJ cana-5311 56 10 methods method NOUN cana-5311 56 11 and and CCONJ cana-5311 56 12 best good ADJ cana-5311 56 13 - - PUNCT cana-5311 56 14 first first ADJ cana-5311 56 15 search search NOUN cana-5311 56 16 work work NOUN cana-5311 56 17 alongside alongside ADP cana-5311 56 18 approximative approximative ADJ cana-5311 56 19 centrality centrality NOUN cana-5311 56 20 computations computation NOUN cana-5311 56 21 for for ADP cana-5311 56 22 avoiding avoid VERB cana-5311 56 23 full full ADJ cana-5311 56 24 solution solution NOUN cana-5311 56 25 exploration exploration NOUN cana-5311 56 26 . . PUNCT cana-5311 57 1 the the DET cana-5311 57 2 heuristics heuristic NOUN cana-5311 57 3 serve serve VERB cana-5311 57 4 effectively effectively ADV cana-5311 57 5 for for ADP cana-5311 57 6 problems problem NOUN cana-5311 57 7 such such ADJ cana-5311 57 8 as as ADP cana-5311 57 9 influence influence NOUN cana-5311 57 10 maximization maximization NOUN cana-5311 57 11 and and CCONJ cana-5311 57 12 community community NOUN cana-5311 57 13 detection detection NOUN cana-5311 57 14 since since SCONJ cana-5311 57 15 their their PRON cana-5311 57 16 exact exact ADJ cana-5311 57 17 solutions solution NOUN cana-5311 57 18 demand demand VERB cana-5311 57 19 excessive excessive ADJ cana-5311 57 20 computational computational ADJ cana-5311 57 21 resources resource NOUN cana-5311 57 22 . . PUNCT cana-5311 58 1 social social ADJ cana-5311 58 2 network network NOUN cana-5311 58 3 analysis analysis NOUN cana-5311 58 4 could could AUX cana-5311 58 5 be be AUX cana-5311 58 6 optimized optimize VERB cana-5311 58 7 using use VERB cana-5311 58 8 two two NUM cana-5311 58 9 probabilistic probabilistic ADJ cana-5311 58 10 techniques technique NOUN cana-5311 58 11 that that PRON cana-5311 58 12 involve involve VERB cana-5311 58 13 random random ADJ cana-5311 58 14 walk walk NOUN cana-5311 58 15 algorithms algorithm NOUN cana-5311 58 16 and and CCONJ cana-5311 58 17 sketching sketch VERB cana-5311 58 18 protocols protocol NOUN cana-5311 58 19 . . PUNCT cana-5311 59 1 these these DET cana-5311 59 2 methods method NOUN cana-5311 59 3 produce produce VERB cana-5311 59 4 estimated estimate VERB cana-5311 59 5 outcomes outcome NOUN cana-5311 59 6 of of ADP cana-5311 59 7 graph graph NOUN cana-5311 59 8 properties property NOUN cana-5311 59 9 which which PRON cana-5311 59 10 maintained maintain VERB cana-5311 59 11 controlled control VERB cana-5311 59 12 margin margin NOUN cana-5311 59 13 errors error NOUN cana-5311 59 14 to to PART cana-5311 59 15 support support VERB cana-5311 59 16 practical practical ADJ cana-5311 59 17 fast fast ADJ cana-5311 59 18 yet yet ADV cana-5311 59 19 accurate accurate ADJ cana-5311 59 20 computations computation NOUN cana-5311 59 21 for for ADP cana-5311 59 22 tasks task NOUN cana-5311 59 23 including include VERB cana-5311 59 24 betweenness betweenness NOUN cana-5311 59 25 and and CCONJ cana-5311 59 26 closeness closeness NOUN cana-5311 59 27 centrality centrality NOUN cana-5311 59 28 evaluations evaluation NOUN cana-5311 59 29 . . PUNCT cana-5311 60 1 the the DET cana-5311 60 2 combination combination NOUN cana-5311 60 3 of of ADP cana-5311 60 4 hybrid hybrid ADJ cana-5311 60 5 methods method NOUN cana-5311 60 6 demonstrates demonstrate VERB cana-5311 60 7 performance performance NOUN cana-5311 60 8 enhancement enhancement NOUN cana-5311 60 9 capabilities capability NOUN cana-5311 60 10 that that PRON cana-5311 60 11 maintain maintain VERB cana-5311 60 12 the the DET cana-5311 60 13 analytical analytical ADJ cana-5311 60 14 result result NOUN cana-5311 60 15 quality quality NOUN cana-5311 60 16 at at ADP cana-5311 60 17 an an DET cana-5311 60 18 equivalent equivalent ADJ cana-5311 60 19 level level NOUN cana-5311 60 20 . . PUNCT cana-5311 61 1 in in ADP cana-5311 61 2 2021 2021 NUM cana-5311 61 3 z. z. PROPN cana-5311 61 4 lin lin PROPN cana-5311 61 5 et.al et.al PROPN cana-5311 61 6 . . PROPN cana-5311 61 7 , , PUNCT cana-5311 61 8 y. y. PROPN cana-5311 61 9 zhang zhang PROPN cana-5311 61 10 et.al et.al PROPN cana-5311 61 11 . . PROPN cana-5311 61 12 , , PUNCT cana-5311 61 13 q. q. PROPN cana-5311 61 14 gong gong PROPN cana-5311 61 15 et.al et.al PROPN cana-5311 61 16 . . PUNCT cana-5311 61 17 , , PUNCT cana-5311 61 18 y. y. PROPN cana-5311 61 19 chen chen PROPN cana-5311 61 20 et.al et.al PROPN cana-5311 61 21 . . PROPN cana-5311 61 22 , , PUNCT cana-5311 61 23 a. a. PROPN cana-5311 61 24 oksanen oksanen PROPN cana-5311 61 25 et.al et.al PROPN cana-5311 61 26 . . PROPN cana-5311 61 27 , , PUNCT cana-5311 61 28 and and CCONJ cana-5311 61 29 a. a. PROPN cana-5311 61 30 y. y. PROPN cana-5311 61 31 ding ding PROPN cana-5311 61 32 et.al et.al PROPN cana-5311 61 33 . . PUNCT cana-5311 61 34 , , PUNCT cana-5311 61 35 [ [ X cana-5311 61 36 4 4 X cana-5311 61 37 ] ] PUNCT cana-5311 61 38 proposed propose VERB cana-5311 61 39 the the PRON cana-5311 61 40 despite despite SCONJ cana-5311 61 41 these these DET cana-5311 61 42 advances advance NOUN cana-5311 61 43 , , PUNCT cana-5311 61 44 challenges challenge NOUN cana-5311 61 45 remain remain VERB cana-5311 61 46 . . PUNCT cana-5311 62 1 problem problem NOUN cana-5311 62 2 - - PUNCT cana-5311 62 3 specific specific ADJ cana-5311 62 4 optimization optimization NOUN cana-5311 62 5 techniques technique NOUN cana-5311 62 6 restrict restrict VERB cana-5311 62 7 their their PRON cana-5311 62 8 usefulness usefulness NOUN cana-5311 62 9 across across ADP cana-5311 62 10 different different ADJ cana-5311 62 11 tasks task NOUN cana-5311 62 12 that that PRON cana-5311 62 13 exist exist VERB cana-5311 62 14 in in ADP cana-5311 62 15 social social ADJ cana-5311 62 16 network network NOUN cana-5311 62 17 analysis analysis NOUN cana-5311 62 18 . . PUNCT cana-5311 63 1 dynamic dynamic ADJ cana-5311 63 2 networks network NOUN cana-5311 63 3 demand demand NOUN cana-5311 63 4 algorithms algorithm NOUN cana-5311 63 5 which which PRON cana-5311 63 6 adjust adjust VERB cana-5311 63 7 to to ADP cana-5311 63 8 network network NOUN cana-5311 63 9 changes change NOUN cana-5311 63 10 without without ADP cana-5311 63 11 performing perform VERB cana-5311 63 12 complete complete ADJ cana-5311 63 13 result result NOUN cana-5311 63 14 recalculations recalculation NOUN cana-5311 63 15 since since SCONJ cana-5311 63 16 this this DET cana-5311 63 17 aspect aspect NOUN cana-5311 63 18 remains remain VERB cana-5311 63 19 a a DET cana-5311 63 20 problem problem NOUN cana-5311 63 21 requiring require VERB cana-5311 63 22 advanced advanced ADJ cana-5311 63 23 solutions solution NOUN cana-5311 63 24 . . PUNCT cana-5311 64 1 the the DET cana-5311 64 2 improvements improvement NOUN cana-5311 64 3 achieved achieve VERB cana-5311 64 4 in in ADP cana-5311 64 5 graph graph NOUN cana-5311 64 6 theory theory NOUN cana-5311 64 7 algorithms algorithm NOUN cana-5311 64 8 for for ADP cana-5311 64 9 social social ADJ cana-5311 64 10 network network NOUN cana-5311 64 11 analysis analysis NOUN cana-5311 64 12 demonstration demonstration NOUN cana-5311 64 13 the the DET cana-5311 64 14 necessity necessity NOUN cana-5311 64 15 for for ADP cana-5311 64 16 creating create VERB cana-5311 64 17 a a DET cana-5311 64 18 single single ADJ cana-5311 64 19 adaptable adaptable ADJ cana-5311 64 20 strategy strategy NOUN cana-5311 64 21 to to PART cana-5311 64 22 optimize optimize VERB cana-5311 64 23 these these DET cana-5311 64 24 algorithms algorithm NOUN cana-5311 64 25 . . PUNCT cana-5311 65 1 the the DET cana-5311 65 2 research research NOUN cana-5311 65 3 conducts conduct VERB cana-5311 65 4 an an DET cana-5311 65 5 extensive extensive ADJ cana-5311 65 6 and and CCONJ cana-5311 65 7 adaptable adaptable ADJ cana-5311 65 8 optimization optimization NOUN cana-5311 65 9 framework framework NOUN cana-5311 65 10 which which PRON cana-5311 65 11 addresses address VERB cana-5311 65 12 multiple multiple ADJ cana-5311 65 13 social social ADJ cana-5311 65 14 network network NOUN cana-5311 65 15 analysis analysis NOUN cana-5311 65 16 tasks task NOUN cana-5311 65 17 . . PUNCT cana-5311 66 1 communications communication NOUN cana-5311 66 2 on on ADP cana-5311 66 3 applied apply VERB cana-5311 66 4 nonlinear nonlinear ADJ cana-5311 66 5 analysis analysis NOUN cana-5311 66 6 issn issn NOUN cana-5311 66 7 : : PUNCT cana-5311 66 8 1074 1074 NUM cana-5311 66 9 - - PUNCT cana-5311 66 10 133x 133x NUM cana-5311 66 11 vol vol NOUN cana-5311 66 12 31 31 NUM cana-5311 66 13 no no NOUN cana-5311 66 14 . . PUNCT cana-5311 67 1 6s 6s NUM cana-5311 67 2 ( ( PUNCT cana-5311 67 3 2024 2024 NUM cana-5311 67 4 ) ) PUNCT cana-5311 67 5 745 745 NUM cana-5311 67 6 https://internationalpubls.com https://internationalpubls.com NUM cana-5311 67 7 iii iii PROPN cana-5311 67 8 . . PROPN cana-5311 67 9 proposed propose VERB cana-5311 67 10 methodology methodology NOUN cana-5311 67 11 to to PART cana-5311 67 12 optimize optimize VERB cana-5311 67 13 graph graph NOUN cana-5311 67 14 theory theory NOUN cana-5311 67 15 algorithms algorithm NOUN cana-5311 67 16 for for ADP cana-5311 67 17 social social ADJ cana-5311 67 18 network network NOUN cana-5311 67 19 analysis analysis NOUN cana-5311 67 20 , , PUNCT cana-5311 67 21 a a DET cana-5311 67 22 hybrid hybrid ADJ cana-5311 67 23 multi multi ADJ cana-5311 67 24 - - ADJ cana-5311 67 25 stage stage ADJ cana-5311 67 26 framework framework NOUN cana-5311 67 27 is be AUX cana-5311 67 28 proposed propose VERB cana-5311 67 29 . . PUNCT cana-5311 68 1 the the DET cana-5311 68 2 methodology methodology NOUN cana-5311 68 3 is be AUX cana-5311 68 4 structured structure VERB cana-5311 68 5 into into ADP cana-5311 68 6 several several ADJ cana-5311 68 7 key key ADJ cana-5311 68 8 modules module NOUN cana-5311 68 9 : : PUNCT cana-5311 68 10 graph graph NOUN cana-5311 68 11 preprocessing preprocessing NOUN cana-5311 68 12 , , PUNCT cana-5311 68 13 optimization optimization NOUN cana-5311 68 14 strategy strategy NOUN cana-5311 68 15 selection selection NOUN cana-5311 68 16 , , PUNCT cana-5311 68 17 algorithm algorithm NOUN cana-5311 68 18 enhancement enhancement NOUN cana-5311 68 19 , , PUNCT cana-5311 68 20 and and CCONJ cana-5311 68 21 dynamic dynamic ADJ cana-5311 68 22 adaptation adaptation NOUN cana-5311 68 23 [ [ X cana-5311 68 24 7 7 NUM cana-5311 68 25 ] ] PUNCT cana-5311 68 26 . . PUNCT cana-5311 69 1 each each DET cana-5311 69 2 module module NOUN cana-5311 69 3 is be AUX cana-5311 69 4 mathematically mathematically ADV cana-5311 69 5 formulated formulate VERB cana-5311 69 6 to to PART cana-5311 69 7 ensure ensure VERB cana-5311 69 8 that that SCONJ cana-5311 69 9 both both DET cana-5311 69 10 computational computational ADJ cana-5311 69 11 efficiency efficiency NOUN cana-5311 69 12 and and CCONJ cana-5311 69 13 analytical analytical ADJ cana-5311 69 14 accuracy accuracy NOUN cana-5311 69 15 are be AUX cana-5311 69 16 addressed address VERB cana-5311 69 17 simultaneously simultaneously ADV cana-5311 69 18 . . PUNCT cana-5311 70 1 a. a. NOUN cana-5311 70 2 graph graph NOUN cana-5311 70 3 preprocessing preprocesse VERB cana-5311 70 4 initially initially ADV cana-5311 70 5 , , PUNCT cana-5311 70 6 the the DET cana-5311 70 7 social social ADJ cana-5311 70 8 network network NOUN cana-5311 70 9 graph graph NOUN cana-5311 70 10 𝐺 𝐺 PROPN cana-5311 70 11 = = SYM cana-5311 70 12 ( ( PUNCT cana-5311 70 13 𝑉 𝑉 PROPN cana-5311 70 14 , , PUNCT cana-5311 70 15 𝐸 𝐸 PROPN cana-5311 70 16 ) ) PUNCT cana-5311 70 17 is be AUX cana-5311 70 18 simplified simplify VERB cana-5311 70 19 without without ADP cana-5311 70 20 losing lose VERB cana-5311 70 21 critical critical ADJ cana-5311 70 22 information information NOUN cana-5311 70 23 . . PUNCT cana-5311 71 1 here here ADV cana-5311 71 2 , , PUNCT cana-5311 71 3 𝑉 𝑉 PROPN cana-5311 71 4 represents represent VERB cana-5311 71 5 nodes node NOUN cana-5311 71 6 and and CCONJ cana-5311 71 7 𝐸 𝐸 VERB cana-5311 71 8 the the DET cana-5311 71 9 edges edge NOUN cana-5311 71 10 . . PUNCT cana-5311 72 1 the the DET cana-5311 72 2 density density NOUN cana-5311 72 3 𝐷 𝐷 PROPN cana-5311 72 4 of of ADP cana-5311 72 5 the the DET cana-5311 72 6 graph graph NOUN cana-5311 72 7 is be AUX cana-5311 72 8 calculated calculate VERB cana-5311 72 9 as as ADP cana-5311 72 10 : : PUNCT cana-5311 72 11 𝐷 𝐷 NOUN cana-5311 72 12 = = NOUN cana-5311 72 13 2|𝐸| 2|𝐸| NUM cana-5311 72 14 |𝑉|(|𝑉| |𝑉|(|𝑉| NUM cana-5311 72 15 βˆ’ βˆ’ NOUN cana-5311 72 16 1 1 X cana-5311 72 17 ) ) PUNCT cana-5311 72 18 if if SCONJ cana-5311 72 19 𝐷 𝐷 PROPN cana-5311 72 20 is be AUX cana-5311 72 21 below below ADP cana-5311 72 22 a a DET cana-5311 72 23 threshold threshold NOUN cana-5311 72 24 𝛿 𝛿 ADJ cana-5311 72 25 , , PUNCT cana-5311 72 26 sparsification sparsification NOUN cana-5311 72 27 is be AUX cana-5311 72 28 selectively selectively ADV cana-5311 72 29 applied apply VERB cana-5311 72 30 . . PUNCT cana-5311 73 1 the the DET cana-5311 73 2 edge edge NOUN cana-5311 73 3 weight weight NOUN cana-5311 73 4 adjustment adjustment NOUN cana-5311 73 5 is be AUX cana-5311 73 6 formulated formulate VERB cana-5311 73 7 by by ADP cana-5311 73 8 : : PUNCT cana-5311 73 9 π’˜β€²(𝑒 π’˜β€²(𝑒 PROPN cana-5311 73 10 , , PUNCT cana-5311 73 11 𝑣 𝑣 NOUN cana-5311 73 12 ) ) PUNCT cana-5311 73 13 = = SYM cana-5311 73 14 𝑀(𝑒 𝑀(𝑒 PROPN cana-5311 73 15 , , PUNCT cana-5311 73 16 𝑣 𝑣 NOUN cana-5311 73 17 ) ) PUNCT cana-5311 73 18 Γ— Γ— NOUN cana-5311 73 19 𝛾 𝛾 NOUN cana-5311 73 20 where where SCONJ cana-5311 73 21 𝛾 𝛾 NOUN cana-5311 73 22 is be AUX cana-5311 73 23 a a DET cana-5311 73 24 sparsification sparsification NOUN cana-5311 73 25 coefficient coefficient NOUN cana-5311 73 26 between between ADP cana-5311 73 27 0 0 NUM cana-5311 73 28 and and CCONJ cana-5311 73 29 1 1 NUM cana-5311 73 30 . . PUNCT cana-5311 74 1 additionally additionally ADV cana-5311 74 2 , , PUNCT cana-5311 74 3 node node ADJ cana-5311 74 4 degrees degree NOUN cana-5311 74 5 are be AUX cana-5311 74 6 computed compute VERB cana-5311 74 7 : : PUNCT cana-5311 74 8 𝑑(𝑣 𝑑(𝑣 NOUN cana-5311 74 9 ) ) PUNCT cana-5311 74 10 = = PUNCT cana-5311 74 11 βˆ‘ βˆ‘ PUNCT cana-5311 74 12 β€Š β€Š SPACE cana-5311 74 13 π‘’βˆˆπ‘‰ π‘’βˆˆπ‘‰ PROPN cana-5311 74 14 π‘Žπ‘’π‘£ π‘Žπ‘’π‘£ PROPN cana-5311 74 15 where where SCONJ cana-5311 74 16 π‘Žπ‘’π‘£ π‘Žπ‘’π‘£ PROPN cana-5311 74 17 is be AUX cana-5311 74 18 the the DET cana-5311 74 19 adjacency adjacency NOUN cana-5311 74 20 matrix matrix NOUN cana-5311 74 21 element element NOUN cana-5311 74 22 . . PUNCT cana-5311 75 1 b. b. PROPN cana-5311 75 2 optimization optimization NOUN cana-5311 75 3 strategy strategy NOUN cana-5311 75 4 selection selection NOUN cana-5311 75 5 depending depend VERB cana-5311 75 6 on on ADP cana-5311 75 7 network network NOUN cana-5311 75 8 characteristics characteristic NOUN cana-5311 75 9 , , PUNCT cana-5311 75 10 different different ADJ cana-5311 75 11 optimization optimization NOUN cana-5311 75 12 strategies strategy NOUN cana-5311 75 13 are be AUX cana-5311 75 14 applied apply VERB cana-5311 75 15 . . PUNCT cana-5311 76 1 the the DET cana-5311 76 2 clustering clustering ADJ cana-5311 76 3 coefficient coefficient NOUN cana-5311 76 4 𝐢 𝐢 PROPN cana-5311 76 5 guides guide VERB cana-5311 76 6 community community NOUN cana-5311 76 7 - - PUNCT cana-5311 76 8 based base VERB cana-5311 76 9 optimizations optimization NOUN cana-5311 76 10 : : PUNCT cana-5311 76 11 𝐢(𝑣 𝐢(𝑣 X cana-5311 76 12 ) ) PUNCT cana-5311 76 13 = = SYM cana-5311 76 14 2𝑇(𝑣 2𝑇(𝑣 NUM cana-5311 76 15 ) ) PUNCT cana-5311 76 16 𝑑(𝑣)(𝑑(𝑣 𝑑(𝑣)(𝑑(𝑣 NOUN cana-5311 76 17 ) ) PUNCT cana-5311 76 18 βˆ’ βˆ’ PROPN cana-5311 76 19 1 1 NUM cana-5311 76 20 ) ) PUNCT cana-5311 76 21 where where SCONJ cana-5311 76 22 𝑇(𝑣 𝑇(𝑣 X cana-5311 76 23 ) ) PUNCT cana-5311 76 24 is be AUX cana-5311 76 25 the the DET cana-5311 76 26 number number NOUN cana-5311 76 27 of of ADP cana-5311 76 28 triangles triangle NOUN cana-5311 76 29 through through ADP cana-5311 76 30 node node NOUN cana-5311 76 31 𝑣. 𝑣. NOUN cana-5311 76 32 if if SCONJ cana-5311 76 33 𝐢(𝑣 𝐢(𝑣 NOUN cana-5311 76 34 ) ) PUNCT cana-5311 76 35 β‰₯ β‰₯ NOUN cana-5311 76 36 πœƒ πœƒ NOUN cana-5311 76 37 , , PUNCT cana-5311 76 38 a a DET cana-5311 76 39 local local ADJ cana-5311 76 40 community community NOUN cana-5311 76 41 detection detection NOUN cana-5311 76 42 optimization optimization NOUN cana-5311 76 43 is be AUX cana-5311 76 44 preferred prefer VERB cana-5311 76 45 . . PUNCT cana-5311 77 1 otherwise otherwise ADV cana-5311 77 2 , , PUNCT cana-5311 77 3 global global ADJ cana-5311 77 4 sparsification sparsification NOUN cana-5311 77 5 is be AUX cana-5311 77 6 conducted conduct VERB cana-5311 77 7 [ [ X cana-5311 77 8 8 8 NUM cana-5311 77 9 ] ] PUNCT cana-5311 77 10 . . PUNCT cana-5311 78 1 the the DET cana-5311 78 2 edge edge NOUN cana-5311 78 3 removal removal NOUN cana-5311 78 4 probability probability NOUN cana-5311 78 5 π‘ƒπ‘Ÿ π‘ƒπ‘Ÿ PROPN cana-5311 78 6 during during ADP cana-5311 78 7 sparsification sparsification NOUN cana-5311 78 8 is be AUX cana-5311 78 9 modeled model VERB cana-5311 78 10 by by ADP cana-5311 78 11 : : PUNCT cana-5311 78 12 π‘ƒπ‘Ÿ(𝑒 π‘ƒπ‘Ÿ(𝑒 PROPN cana-5311 78 13 ) ) PUNCT cana-5311 78 14 = = SYM cana-5311 78 15 1 1 NUM cana-5311 78 16 βˆ’ βˆ’ PROPN cana-5311 78 17 𝑀(𝑒 𝑀(𝑒 NOUN cana-5311 78 18 ) ) PUNCT cana-5311 78 19 max max PROPN cana-5311 78 20 π‘’β€²βˆˆπΈ π‘’β€²βˆˆπΈ PROPN cana-5311 78 21 β€Š β€Š SPACE cana-5311 78 22 𝑀(𝑒′ 𝑀(𝑒′ PROPN cana-5311 78 23 ) ) PUNCT cana-5311 78 24 communications communication NOUN cana-5311 78 25 on on ADP cana-5311 78 26 applied apply VERB cana-5311 78 27 nonlinear nonlinear ADJ cana-5311 78 28 analysis analysis NOUN cana-5311 78 29 issn issn NOUN cana-5311 78 30 : : PUNCT cana-5311 78 31 1074 1074 NUM cana-5311 78 32 - - PUNCT cana-5311 78 33 133x 133x NUM cana-5311 78 34 vol vol NOUN cana-5311 78 35 31 31 NUM cana-5311 78 36 no no NOUN cana-5311 78 37 . . PUNCT cana-5311 79 1 6s 6s NUM cana-5311 79 2 ( ( PUNCT cana-5311 79 3 2024 2024 NUM cana-5311 79 4 ) ) PUNCT cana-5311 79 5 746 746 NUM cana-5311 79 6 https://internationalpubls.com https://internationalpubls.com X cana-5311 79 7 c. c. NOUN cana-5311 79 8 algorithm algorithm PROPN cana-5311 79 9 enhancement enhancement NOUN cana-5311 79 10 for for ADP cana-5311 79 11 shortest short ADJ cana-5311 79 12 path path NOUN cana-5311 79 13 computations computation NOUN cana-5311 79 14 , , PUNCT cana-5311 79 15 a a DET cana-5311 79 16 heuristic heuristic ADJ cana-5311 79 17 enhancement enhancement NOUN cana-5311 79 18 using use VERB cana-5311 79 19 the the DET cana-5311 79 20 estimated estimate VERB cana-5311 79 21 distance distance NOUN cana-5311 79 22 function function NOUN cana-5311 79 23 β„Ž(𝑒 β„Ž(𝑒 PROPN cana-5311 79 24 , , PUNCT cana-5311 79 25 𝑣 𝑣 NOUN cana-5311 79 26 ) ) PUNCT cana-5311 79 27 is be AUX cana-5311 79 28 applied apply VERB cana-5311 79 29 : : PUNCT cana-5311 79 30 β„Ž(𝑒 β„Ž(𝑒 PROPN cana-5311 79 31 , , PUNCT cana-5311 79 32 𝑣 𝑣 NOUN cana-5311 79 33 ) ) PUNCT cana-5311 79 34 = = SYM cana-5311 79 35 𝛼 𝛼 PRON cana-5311 79 36 Γ— Γ— PROPN cana-5311 79 37 𝑑(𝑒 𝑑(𝑒 NOUN cana-5311 79 38 , , PUNCT cana-5311 79 39 𝑣 𝑣 NOUN cana-5311 79 40 ) ) PUNCT cana-5311 79 41 where where SCONJ cana-5311 79 42 𝛼 𝛼 NOUN cana-5311 79 43 is be AUX cana-5311 79 44 a a DET cana-5311 79 45 heuristic heuristic ADJ cana-5311 79 46 scaling scale VERB cana-5311 79 47 factor factor NOUN cana-5311 79 48 . . PUNCT cana-5311 80 1 modified modify VERB cana-5311 80 2 dijkstra dijkstra PROPN cana-5311 80 3 's 's PART cana-5311 80 4 algorithm algorithm NOUN cana-5311 80 5 is be AUX cana-5311 80 6 used use VERB cana-5311 80 7 , , PUNCT cana-5311 80 8 where where SCONJ cana-5311 80 9 the the DET cana-5311 80 10 priority priority NOUN cana-5311 80 11 queue queue NOUN cana-5311 80 12 𝑄 𝑄 PRON cana-5311 80 13 is be AUX cana-5311 80 14 updated update VERB cana-5311 80 15 as as ADP cana-5311 80 16 : : PUNCT cana-5311 80 17 𝑄(𝑒 𝑄(𝑒 NUM cana-5311 80 18 ) ) PUNCT cana-5311 80 19 = = SYM cana-5311 80 20 𝑔(𝑒 𝑔(𝑒 NOUN cana-5311 80 21 ) ) PUNCT cana-5311 81 1 + + CCONJ cana-5311 81 2 β„Ž(𝑒 β„Ž(𝑒 PROPN cana-5311 81 3 , , PUNCT cana-5311 81 4 𝑣 𝑣 NOUN cana-5311 81 5 ) ) PUNCT cana-5311 81 6 with with ADP cana-5311 81 7 𝑔(𝑒 𝑔(𝑒 NOUN cana-5311 81 8 ) ) PUNCT cana-5311 81 9 being be AUX cana-5311 81 10 the the DET cana-5311 81 11 known know VERB cana-5311 81 12 shortest short ADJ cana-5311 81 13 distance distance NOUN cana-5311 81 14 from from ADP cana-5311 81 15 the the DET cana-5311 81 16 source source NOUN cana-5311 81 17 to to ADP cana-5311 81 18 𝑒. 𝑒. NOUN cana-5311 81 19 centrality centrality NOUN cana-5311 81 20 measures measure NOUN cana-5311 81 21 are be AUX cana-5311 81 22 approximated approximate VERB cana-5311 81 23 through through ADP cana-5311 81 24 sampling sample VERB cana-5311 81 25 . . PUNCT cana-5311 82 1 for for ADP cana-5311 82 2 example example NOUN cana-5311 82 3 , , PUNCT cana-5311 82 4 betweenness betweenness NOUN cana-5311 82 5 centrality centrality NOUN cana-5311 82 6 𝐡𝐢(𝑣 𝐡𝐢(𝑣 NOUN cana-5311 82 7 ) ) PUNCT cana-5311 82 8 is be AUX cana-5311 82 9 estimated estimate VERB cana-5311 82 10 by by ADP cana-5311 82 11 : : PUNCT cana-5311 82 12 𝐡𝐢(𝑣 𝐡𝐢(𝑣 NOUN cana-5311 82 13 ) ) PUNCT cana-5311 83 1 β‰ˆ β‰ˆ PROPN cana-5311 83 2 βˆ‘ βˆ‘ PUNCT cana-5311 83 3 β€Š β€Š SPACE cana-5311 83 4 𝑠,π‘‘βˆˆπ‘† 𝑠,π‘‘βˆˆπ‘† PROPN cana-5311 83 5 πœŽπ‘ π‘‘(𝑣 πœŽπ‘ π‘‘(𝑣 PROPN cana-5311 83 6 ) ) PUNCT cana-5311 83 7 πœŽπ‘ π‘‘ πœŽπ‘ π‘‘ NOUN cana-5311 83 8 where where SCONJ cana-5311 83 9 𝑆 𝑆 PROPN cana-5311 83 10 is be AUX cana-5311 83 11 a a DET cana-5311 83 12 sample sample NOUN cana-5311 83 13 subset subset NOUN cana-5311 83 14 of of ADP cana-5311 83 15 nodes node NOUN cana-5311 83 16 . . PUNCT cana-5311 84 1 sampling sample VERB cana-5311 84 2 size size NOUN cana-5311 84 3 |𝑆| |𝑆| VERB cana-5311 84 4 is be AUX cana-5311 84 5 dynamically dynamically ADV cana-5311 84 6 adjusted adjust VERB cana-5311 84 7 : : PUNCT cana-5311 84 8 |𝑆| |𝑆| VERB cana-5311 84 9 = = PUNCT cana-5311 85 1 √|𝑉| √|𝑉| X cana-5311 85 2 d. d. PROPN cana-5311 85 3 dynamic dynamic ADJ cana-5311 85 4 adaptation adaptation NOUN cana-5311 85 5 module module NOUN cana-5311 85 6 since since SCONJ cana-5311 85 7 social social ADJ cana-5311 85 8 networks network NOUN cana-5311 85 9 are be AUX cana-5311 85 10 dynamic dynamic ADJ cana-5311 85 11 , , PUNCT cana-5311 85 12 real real ADJ cana-5311 85 13 - - PUNCT cana-5311 85 14 time time NOUN cana-5311 85 15 updates update NOUN cana-5311 85 16 are be AUX cana-5311 85 17 necessary necessary ADJ cana-5311 85 18 . . PUNCT cana-5311 86 1 the the DET cana-5311 86 2 update update NOUN cana-5311 86 3 rate rate NOUN cana-5311 86 4 πœ† πœ† NOUN cana-5311 86 5 is be AUX cana-5311 86 6 defined define VERB cana-5311 86 7 as as ADP cana-5311 86 8 : : PUNCT cana-5311 86 9 πœ† πœ† X cana-5311 86 10 = = PUNCT cana-5311 86 11 δ𝐸 δ𝐸 NOUN cana-5311 86 12 δ𝑑 δ𝑑 X cana-5311 86 13 where where SCONJ cana-5311 86 14 δ𝐸 δ𝐸 NOUN cana-5311 86 15 represents represent VERB cana-5311 86 16 the the DET cana-5311 86 17 number number NOUN cana-5311 86 18 of of ADP cana-5311 86 19 edge edge NOUN cana-5311 86 20 changes change NOUN cana-5311 86 21 during during ADP cana-5311 86 22 the the DET cana-5311 86 23 time time NOUN cana-5311 86 24 interval interval NOUN cana-5311 86 25 δ𝑑. δ𝑑. PROPN cana-5311 86 26 the the DET cana-5311 86 27 system system NOUN cana-5311 86 28 triggers trigger VERB cana-5311 86 29 partial partial ADJ cana-5311 86 30 re re NOUN cana-5311 86 31 - - NOUN cana-5311 86 32 computation computation NOUN cana-5311 86 33 only only ADV cana-5311 86 34 if if SCONJ cana-5311 86 35 : : PUNCT cana-5311 86 36 πœ† πœ† X cana-5311 86 37 > > X cana-5311 86 38 Ξ» Ξ» X cana-5311 86 39 where where SCONJ cana-5311 86 40 𝚲 𝚲 NOUN cana-5311 86 41 is be AUX cana-5311 86 42 a a DET cana-5311 86 43 defined define VERB cana-5311 86 44 sensitivity sensitivity NOUN cana-5311 86 45 threshold threshold NOUN cana-5311 86 46 . . PUNCT cana-5311 87 1 incremental incremental ADJ cana-5311 87 2 computation computation NOUN cana-5311 87 3 updates update VERB cana-5311 87 4 shortest short ADJ cana-5311 87 5 paths path NOUN cana-5311 87 6 using use VERB cana-5311 87 7 : : PUNCT cana-5311 88 1 𝑑′(𝑒 𝑑′(𝑒 INTJ cana-5311 88 2 , , PUNCT cana-5311 88 3 𝑣 𝑣 X cana-5311 88 4 ) ) PUNCT cana-5311 88 5 = = SYM cana-5311 88 6 min(𝑑(𝑒 min(𝑑(𝑒 NOUN cana-5311 88 7 , , PUNCT cana-5311 88 8 𝑣 𝑣 NOUN cana-5311 88 9 ) ) PUNCT cana-5311 88 10 , , PUNCT cana-5311 88 11 𝑑(𝑒 𝑑(𝑒 NOUN cana-5311 88 12 , , PUNCT cana-5311 88 13 π‘₯ π‘₯ NOUN cana-5311 88 14 ) ) PUNCT cana-5311 89 1 + + CCONJ cana-5311 89 2 𝑀(π‘₯ 𝑀(π‘₯ NOUN cana-5311 89 3 , , PUNCT cana-5311 89 4 𝑣 𝑣 NOUN cana-5311 89 5 ) ) PUNCT cana-5311 89 6 ) ) PUNCT cana-5311 89 7 for for ADP cana-5311 89 8 newly newly ADV cana-5311 89 9 added add VERB cana-5311 89 10 nodes node NOUN cana-5311 89 11 𝒙. 𝒙. VERB cana-5311 89 12 similarly similarly ADV cana-5311 89 13 , , PUNCT cana-5311 89 14 centrality centrality NOUN cana-5311 89 15 recalculations recalculation NOUN cana-5311 89 16 are be AUX cana-5311 89 17 limited limit VERB cana-5311 89 18 to to ADP cana-5311 89 19 affected affect VERB cana-5311 89 20 nodes node NOUN cana-5311 89 21 only only ADV cana-5311 89 22 , , PUNCT cana-5311 89 23 guided guide VERB cana-5311 89 24 by by ADP cana-5311 89 25 a a DET cana-5311 89 26 diffusion diffusion NOUN cana-5311 89 27 radius radius NOUN cana-5311 89 28 π‘Ÿ π‘Ÿ NOUN cana-5311 89 29 : : PUNCT cana-5311 89 30 communications communication NOUN cana-5311 89 31 on on ADP cana-5311 89 32 applied apply VERB cana-5311 89 33 nonlinear nonlinear ADJ cana-5311 89 34 analysis analysis NOUN cana-5311 89 35 issn issn NOUN cana-5311 89 36 : : PUNCT cana-5311 89 37 1074 1074 NUM cana-5311 89 38 - - PUNCT cana-5311 89 39 133x 133x NUM cana-5311 89 40 vol vol NOUN cana-5311 89 41 31 31 NUM cana-5311 89 42 no no NOUN cana-5311 89 43 . . PUNCT cana-5311 90 1 6s 6s NUM cana-5311 90 2 ( ( PUNCT cana-5311 90 3 2024 2024 NUM cana-5311 90 4 ) ) PUNCT cana-5311 90 5 747 747 NUM cana-5311 90 6 https://internationalpubls.com https://internationalpubls.com X cana-5311 90 7 π‘Ÿ π‘Ÿ NOUN cana-5311 90 8 = = SYM cana-5311 90 9 log⁑(|𝑉| log⁑(|𝑉| X cana-5311 90 10 ) ) PUNCT cana-5311 90 11 here here ADV cana-5311 90 12 's be AUX cana-5311 90 13 the the DET cana-5311 90 14 flowchart flowchart NOUN cana-5311 90 15 illustrating illustrate VERB cana-5311 90 16 the the DET cana-5311 90 17 proposed propose VERB cana-5311 90 18 methodology methodology NOUN cana-5311 90 19 : : PUNCT cana-5311 90 20 figure figure NOUN cana-5311 90 21 1 1 NUM cana-5311 90 22 : : PUNCT cana-5311 90 23 optimized optimize VERB cana-5311 90 24 workflow workflow NOUN cana-5311 90 25 for for ADP cana-5311 90 26 graph graph NOUN cana-5311 90 27 - - PUNCT cana-5311 90 28 based base VERB cana-5311 90 29 social social ADJ cana-5311 90 30 network network NOUN cana-5311 90 31 analysis analysis NOUN cana-5311 90 32 communications communication NOUN cana-5311 90 33 on on ADP cana-5311 90 34 applied apply VERB cana-5311 90 35 nonlinear nonlinear ADJ cana-5311 90 36 analysis analysis NOUN cana-5311 90 37 issn issn NOUN cana-5311 90 38 : : PUNCT cana-5311 90 39 1074 1074 NUM cana-5311 90 40 - - PUNCT cana-5311 90 41 133x 133x NUM cana-5311 90 42 vol vol NOUN cana-5311 90 43 31 31 NUM cana-5311 90 44 no no NOUN cana-5311 90 45 . . PUNCT cana-5311 91 1 6s 6s NUM cana-5311 91 2 ( ( PUNCT cana-5311 91 3 2024 2024 NUM cana-5311 91 4 ) ) PUNCT cana-5311 91 5 748 748 NUM cana-5311 91 6 https://internationalpubls.com https://internationalpubls.com X cana-5311 91 7 e. e. PROPN cana-5311 91 8 final final PROPN cana-5311 91 9 mathematical mathematical ADJ cana-5311 91 10 optimization optimization NOUN cana-5311 91 11 summary summary NOUN cana-5311 91 12 overall overall ADV cana-5311 91 13 , , PUNCT cana-5311 91 14 the the DET cana-5311 91 15 optimization optimization NOUN cana-5311 91 16 goal goal NOUN cana-5311 91 17 is be AUX cana-5311 91 18 to to PART cana-5311 91 19 minimize minimize VERB cana-5311 91 20 computational computational ADJ cana-5311 91 21 cost cost NOUN cana-5311 91 22 𝐢total 𝐢total PROPN cana-5311 91 23 while while SCONJ cana-5311 91 24 maximizing maximize VERB cana-5311 91 25 accuracy accuracy NOUN cana-5311 91 26 𝐴 𝐴 NOUN cana-5311 91 27 : : PUNCT cana-5311 91 28 min𝐢total min𝐢total PROPN cana-5311 91 29 = = SYM cana-5311 91 30 𝐢sparsification 𝐢sparsification PROPN cana-5311 91 31 + + CCONJ cana-5311 91 32 𝐢algorithm 𝐢algorithm PROPN cana-5311 91 33 + + CCONJ cana-5311 91 34 𝐢dynamic_updates 𝐢dynamic_update VERB cana-5311 91 35 max𝐴 max𝐴 NOUN cana-5311 91 36 = = SYM cana-5311 91 37 1 1 NUM cana-5311 91 38 βˆ’ βˆ’ NOUN cana-5311 91 39 πœ– πœ– X cana-5311 91 40 where where SCONJ cana-5311 91 41 πœ– πœ– PROPN cana-5311 91 42 is be AUX cana-5311 91 43 the the DET cana-5311 91 44 cumulative cumulative ADJ cana-5311 91 45 error error NOUN cana-5311 91 46 introduced introduce VERB cana-5311 91 47 by by ADP cana-5311 91 48 approximations approximation NOUN cana-5311 91 49 [ [ X cana-5311 91 50 9 9 NUM cana-5311 91 51 ] ] PUNCT cana-5311 91 52 . . PUNCT cana-5311 92 1 the the DET cana-5311 92 2 trade trade NOUN cana-5311 92 3 - - PUNCT cana-5311 92 4 off off ADP cana-5311 92 5 parameter parameter PROPN cana-5311 92 6 Ο‰ Ο‰ PROPN cana-5311 92 7 is be AUX cana-5311 92 8 defined define VERB cana-5311 92 9 as as ADP cana-5311 92 10 : : PUNCT cana-5311 92 11 Ο‰ Ο‰ NUM cana-5311 92 12 = = SYM cana-5311 92 13 𝐴 𝐴 PROPN cana-5311 92 14 𝐢total 𝐢total PROPN cana-5311 92 15 and and CCONJ cana-5311 92 16 the the DET cana-5311 92 17 system system NOUN cana-5311 92 18 adaptively adaptively ADV cana-5311 92 19 tunes tune VERB cana-5311 92 20 itself itself PRON cana-5311 92 21 to to PART cana-5311 92 22 maximize maximize VERB cana-5311 92 23 Ο‰ Ο‰ NUM cana-5311 92 24 during during ADP cana-5311 92 25 operation operation NOUN cana-5311 92 26 . . PUNCT cana-5311 93 1 iv iv X cana-5311 93 2 . . PROPN cana-5311 93 3 result result PROPN cana-5311 93 4 & & CCONJ cana-5311 93 5 discussions discussion NOUN cana-5311 93 6 the the DET cana-5311 93 7 execution execution NOUN cana-5311 93 8 time time NOUN cana-5311 93 9 of of ADP cana-5311 93 10 main main ADJ cana-5311 93 11 graph graph NOUN cana-5311 93 12 algorithms algorithm NOUN cana-5311 93 13 including include VERB cana-5311 93 14 shortest short ADJ cana-5311 93 15 path path NOUN cana-5311 93 16 and and CCONJ cana-5311 93 17 community community NOUN cana-5311 93 18 detection detection NOUN cana-5311 93 19 decreased decrease VERB cana-5311 93 20 substantially substantially ADV cana-5311 93 21 when when SCONJ cana-5311 93 22 using use VERB cana-5311 93 23 the the DET cana-5311 93 24 proposed propose VERB cana-5311 93 25 method method NOUN cana-5311 93 26 according accord VERB cana-5311 93 27 to to PART cana-5311 93 28 figure figure VERB cana-5311 93 29 2 2 NUM cana-5311 93 30 . . PUNCT cana-5311 94 1 the the DET cana-5311 94 2 visual visual ADJ cana-5311 94 3 representation representation NOUN cana-5311 94 4 shows show VERB cana-5311 94 5 that that SCONJ cana-5311 94 6 preprocessing preprocessing NOUN cana-5311 94 7 , , PUNCT cana-5311 94 8 sparsification sparsification NOUN cana-5311 94 9 together together ADV cana-5311 94 10 with with ADP cana-5311 94 11 heuristic heuristic ADJ cana-5311 94 12 integration integration NOUN cana-5311 94 13 operates operate VERB cana-5311 94 14 to to PART cana-5311 94 15 shorten shorten VERB cana-5311 94 16 computational computational ADJ cana-5311 94 17 delays delay NOUN cana-5311 94 18 while while SCONJ cana-5311 94 19 maintaining maintain VERB cana-5311 94 20 accuracy accuracy NOUN cana-5311 94 21 levels level NOUN cana-5311 94 22 . . PUNCT cana-5311 95 1 figure figure VERB cana-5311 95 2 2 2 NUM cana-5311 95 3 : : PUNCT cana-5311 95 4 execution execution NOUN cana-5311 95 5 time time NOUN cana-5311 95 6 comparison comparison NOUN cana-5311 95 7 across across ADP cana-5311 95 8 methods method NOUN cana-5311 95 9 having have VERB cana-5311 95 10 memory memory NOUN cana-5311 95 11 utilization utilization NOUN cana-5311 95 12 as as ADP cana-5311 95 13 a a DET cana-5311 95 14 key key ADJ cana-5311 95 15 finding finding NOUN cana-5311 95 16 stood stand VERB cana-5311 95 17 out out ADP cana-5311 95 18 during during ADP cana-5311 95 19 this this DET cana-5311 95 20 stage stage NOUN cana-5311 95 21 . . PUNCT cana-5311 96 1 the the DET cana-5311 96 2 measurement measurement NOUN cana-5311 96 3 of of ADP cana-5311 96 4 memory memory NOUN cana-5311 96 5 usage usage NOUN cana-5311 96 6 during during ADP cana-5311 96 7 graph graph NOUN cana-5311 96 8 traversal traversal NOUN cana-5311 96 9 along along ADP cana-5311 96 10 with with ADP cana-5311 96 11 centrality centrality NOUN cana-5311 96 12 calculation calculation NOUN cana-5311 96 13 runs run VERB cana-5311 96 14 across across ADP cana-5311 96 15 different different ADJ cana-5311 96 16 graph graph NOUN cana-5311 96 17 sizes size NOUN cana-5311 96 18 appears appear VERB cana-5311 96 19 in in ADP cana-5311 96 20 figure figure NOUN cana-5311 96 21 3 3 NUM cana-5311 96 22 . . PUNCT cana-5311 96 23 peak peak NOUN cana-5311 96 24 memory memory NOUN cana-5311 96 25 usage usage NOUN cana-5311 96 26 decreases decrease VERB cana-5311 96 27 visibly visibly ADV cana-5311 96 28 according accord VERB cana-5311 96 29 to to ADP cana-5311 96 30 the the DET cana-5311 96 31 measured measure VERB cana-5311 96 32 graph graph NOUN cana-5311 96 33 complexity complexity NOUN cana-5311 96 34 in in ADP cana-5311 96 35 the the DET cana-5311 96 36 data datum NOUN cana-5311 96 37 . . PUNCT cana-5311 97 1 the the DET cana-5311 97 2 monitoring monitoring NOUN cana-5311 97 3 strategies strategy NOUN cana-5311 97 4 demonstrate demonstrate VERB cana-5311 97 5 effectiveness effectiveness NOUN cana-5311 97 6 in in ADP cana-5311 97 7 reducing reduce VERB cana-5311 97 8 unnecessary unnecessary ADJ cana-5311 97 9 memory memory NOUN cana-5311 97 10 usage usage NOUN cana-5311 97 11 that that PRON cana-5311 97 12 becomes become VERB cana-5311 97 13 crucial crucial ADJ cana-5311 97 14 in in ADP cana-5311 97 15 real real ADJ cana-5311 97 16 - - PUNCT cana-5311 97 17 time time NOUN cana-5311 97 18 social social ADJ cana-5311 97 19 network network NOUN cana-5311 97 20 tracking tracking NOUN cana-5311 97 21 applications application NOUN cana-5311 97 22 . . PUNCT cana-5311 98 1 24.6 24.6 NUM cana-5311 98 2 128.4 128.4 NUM cana-5311 98 3 276.9 276.9 NUM cana-5311 98 4 12.8 12.8 NUM cana-5311 98 5 73.9 73.9 NUM cana-5311 98 6 153.2 153.2 NUM cana-5311 98 7 0 0 NUM cana-5311 98 8 50 50 NUM cana-5311 98 9 100 100 NUM cana-5311 98 10 150 150 NUM cana-5311 98 11 200 200 NUM cana-5311 98 12 250 250 NUM cana-5311 98 13 300 300 NUM cana-5311 98 14 1000 1000 NUM cana-5311 98 15 5000 5000 NUM cana-5311 98 16 10000 10000 NUM cana-5311 98 17 execution execution NOUN cana-5311 98 18 time time NOUN cana-5311 98 19 comparison comparison NOUN cana-5311 98 20 across across ADP cana-5311 98 21 methods method NOUN cana-5311 98 22 baseline baseline VERB cana-5311 98 23 ( ( PUNCT cana-5311 98 24 s s NOUN cana-5311 98 25 ) ) PUNCT cana-5311 98 26 optimized optimize VERB cana-5311 98 27 ( ( PUNCT cana-5311 98 28 s s NOUN cana-5311 98 29 ) ) PUNCT cana-5311 98 30 communications communication NOUN cana-5311 98 31 on on ADP cana-5311 98 32 applied apply VERB cana-5311 98 33 nonlinear nonlinear ADJ cana-5311 98 34 analysis analysis NOUN cana-5311 98 35 issn issn NOUN cana-5311 98 36 : : PUNCT cana-5311 98 37 1074 1074 NUM cana-5311 98 38 - - PUNCT cana-5311 98 39 133x 133x NUM cana-5311 98 40 vol vol NOUN cana-5311 98 41 31 31 NUM cana-5311 98 42 no no NOUN cana-5311 98 43 . . PUNCT cana-5311 99 1 6s 6s NUM cana-5311 99 2 ( ( PUNCT cana-5311 99 3 2024 2024 NUM cana-5311 99 4 ) ) PUNCT cana-5311 99 5 749 749 NUM cana-5311 100 1 https://internationalpubls.com https://internationalpubls.com X cana-5311 100 2 figure figure NOUN cana-5311 100 3 3 3 NUM cana-5311 100 4 : : PUNCT cana-5311 100 5 memory memory NOUN cana-5311 100 6 usage usage NOUN cana-5311 100 7 during during ADP cana-5311 100 8 graph graph NOUN cana-5311 100 9 processing process VERB cana-5311 100 10 the the DET cana-5311 100 11 document document NOUN cana-5311 100 12 contains contain VERB cana-5311 100 13 table table NOUN cana-5311 100 14 1 1 NUM cana-5311 100 15 which which PRON cana-5311 100 16 provides provide VERB cana-5311 100 17 numerical numerical ADJ cana-5311 100 18 data datum NOUN cana-5311 100 19 about about ADP cana-5311 100 20 execution execution NOUN cana-5311 100 21 times time NOUN cana-5311 100 22 that that PRON cana-5311 100 23 span span VERB cana-5311 100 24 across across ADP cana-5311 100 25 various various ADJ cana-5311 100 26 graph graph NOUN cana-5311 100 27 sizes size NOUN cana-5311 100 28 between between ADP cana-5311 100 29 1,000 1,000 NUM cana-5311 100 30 to to PART cana-5311 100 31 15,000 15,000 NUM cana-5311 100 32 nodes node NOUN cana-5311 100 33 . . PUNCT cana-5311 101 1 the the DET cana-5311 101 2 standard standard ADJ cana-5311 101 3 algorithm algorithm NOUN cana-5311 101 4 ( ( PUNCT cana-5311 101 5 baseline baseline NOUN cana-5311 101 6 ) ) PUNCT cana-5311 101 7 receives receive VERB cana-5311 101 8 comparison comparison NOUN cana-5311 101 9 against against ADP cana-5311 101 10 the the DET cana-5311 101 11 sparsified sparsified ADJ cana-5311 101 12 version version NOUN cana-5311 101 13 as as ADV cana-5311 101 14 well well ADV cana-5311 101 15 as as ADP cana-5311 101 16 the the DET cana-5311 101 17 fully fully ADV cana-5311 101 18 optimized optimize VERB cana-5311 101 19 method method NOUN cana-5311 101 20 in in ADP cana-5311 101 21 the the DET cana-5311 101 22 table table NOUN cana-5311 101 23 . . PUNCT cana-5311 102 1 the the DET cana-5311 102 2 proposed propose VERB cana-5311 102 3 optimization optimization NOUN cana-5311 102 4 framework framework NOUN cana-5311 102 5 completed complete VERB cana-5311 102 6 the the DET cana-5311 102 7 task task NOUN cana-5311 102 8 of of ADP cana-5311 102 9 5,000 5,000 NUM cana-5311 102 10 node node NOUN cana-5311 102 11 processing processing NOUN cana-5311 102 12 in in ADP cana-5311 102 13 73.9 73.9 NUM cana-5311 102 14 seconds second NOUN cana-5311 102 15 while while SCONJ cana-5311 102 16 the the DET cana-5311 102 17 baseline baseline NOUN cana-5311 102 18 required require VERB cana-5311 102 19 128.4 128.4 NUM cana-5311 102 20 seconds second NOUN cana-5311 102 21 demonstrating demonstrate VERB cana-5311 102 22 the the DET cana-5311 102 23 successful successful ADJ cana-5311 102 24 implementation implementation NOUN cana-5311 102 25 of of ADP cana-5311 102 26 this this DET cana-5311 102 27 strategy strategy NOUN cana-5311 102 28 . . PUNCT cana-5311 103 1 the the DET cana-5311 103 2 method method NOUN cana-5311 103 3 exhibits exhibit VERB cana-5311 103 4 increased increase VERB cana-5311 103 5 time time NOUN cana-5311 103 6 performance performance NOUN cana-5311 103 7 as as SCONJ cana-5311 103 8 the the DET cana-5311 103 9 graph graph NOUN cana-5311 103 10 scale scale NOUN cana-5311 103 11 grows grow VERB cana-5311 103 12 larger large ADJ cana-5311 103 13 because because SCONJ cana-5311 103 14 of of ADP cana-5311 103 15 its its PRON cana-5311 103 16 natural natural ADJ cana-5311 103 17 scalability scalability NOUN cana-5311 103 18 properties property NOUN cana-5311 103 19 . . PUNCT cana-5311 104 1 table table NOUN cana-5311 104 2 1 1 NUM cana-5311 104 3 : : PUNCT cana-5311 104 4 comparison comparison NOUN cana-5311 104 5 of of ADP cana-5311 104 6 execution execution NOUN cana-5311 104 7 time time NOUN cana-5311 104 8 ( ( PUNCT cana-5311 104 9 in in ADP cana-5311 104 10 seconds second NOUN cana-5311 104 11 ) ) PUNCT cana-5311 104 12 across across ADP cana-5311 104 13 graph graph NOUN cana-5311 104 14 sizes size NOUN cana-5311 104 15 graph graph NOUN cana-5311 104 16 size size NOUN cana-5311 104 17 ( ( PUNCT cana-5311 104 18 nodes node NOUN cana-5311 104 19 ) ) PUNCT cana-5311 104 20 baseline baseline NOUN cana-5311 104 21 time time NOUN cana-5311 104 22 sparsified sparsifie VERB cana-5311 104 23 only only ADV cana-5311 104 24 full full ADJ cana-5311 104 25 optimization optimization NOUN cana-5311 104 26 1,000 1,000 NUM cana-5311 104 27 24.6 24.6 NUM cana-5311 104 28 17.9 17.9 NUM cana-5311 104 29 12.8 12.8 NUM cana-5311 104 30 5,000 5,000 NUM cana-5311 104 31 128.4 128.4 NUM cana-5311 104 32 91.3 91.3 NUM cana-5311 104 33 73.9 73.9 NUM cana-5311 104 34 10,000 10,000 NUM cana-5311 104 35 276.9 276.9 NUM cana-5311 104 36 193.7 193.7 NUM cana-5311 104 37 153.2 153.2 NUM cana-5311 104 38 15,000 15,000 NUM cana-5311 104 39 423.5 423.5 NUM cana-5311 104 40 298.1 298.1 NUM cana-5311 104 41 233.6 233.6 NUM cana-5311 104 42 the the DET cana-5311 104 43 assessment assessment NOUN cana-5311 104 44 of of ADP cana-5311 104 45 community community NOUN cana-5311 104 46 detection detection NOUN cana-5311 104 47 accuracy accuracy NOUN cana-5311 104 48 through through ADP cana-5311 104 49 modularity modularity NOUN cana-5311 104 50 scores score NOUN cana-5311 104 51 determined determine VERB cana-5311 104 52 the the DET cana-5311 104 53 effects effect NOUN cana-5311 104 54 of of ADP cana-5311 104 55 the the DET cana-5311 104 56 optimization optimization NOUN cana-5311 104 57 framework framework NOUN cana-5311 104 58 . . PUNCT cana-5311 105 1 modularity modularity NOUN cana-5311 105 2 values value NOUN cana-5311 105 3 sustained sustain VERB cana-5311 105 4 equal equal ADJ cana-5311 105 5 levels level NOUN cana-5311 105 6 from from ADP cana-5311 105 7 baseline baseline NOUN cana-5311 105 8 to to ADP cana-5311 105 9 optimized optimize VERB cana-5311 105 10 versions version NOUN cana-5311 105 11 which which PRON cana-5311 105 12 indicates indicate VERB cana-5311 105 13 the the DET cana-5311 105 14 structural structural ADJ cana-5311 105 15 integrity integrity NOUN cana-5311 105 16 remains remain VERB cana-5311 105 17 unchanged unchanged ADJ cana-5311 105 18 after after SCONJ cana-5311 105 19 sparsification sparsification NOUN cana-5311 105 20 and and CCONJ cana-5311 105 21 heuristics heuristic NOUN cana-5311 105 22 were be AUX cana-5311 105 23 applied apply VERB cana-5311 105 24 . . PUNCT cana-5311 106 1 the the DET cana-5311 106 2 average average ADJ cana-5311 106 3 modularity modularity NOUN cana-5311 106 4 scores score NOUN cana-5311 106 5 exhibited exhibit VERB cana-5311 106 6 similarities similarity NOUN cana-5311 106 7 between between ADP cana-5311 106 8 baseline baseline NOUN cana-5311 106 9 and and CCONJ cana-5311 106 10 optimized optimize VERB cana-5311 106 11 systems system NOUN cana-5311 106 12 who who PRON cana-5311 106 13 recorded record VERB cana-5311 106 14 0.68 0.68 NUM cana-5311 106 15 to to ADP cana-5311 106 16 0.74 0.74 NUM cana-5311 106 17 in in ADP cana-5311 106 18 table table NOUN cana-5311 106 19 2 2 NUM cana-5311 106 20 " " PUNCT cana-5311 106 21 community community NOUN cana-5311 106 22 detection detection NOUN cana-5311 106 23 accuracy accuracy NOUN cana-5311 106 24 using use VERB cana-5311 106 25 modularity modularity NOUN cana-5311 106 26 score score NOUN cana-5311 106 27 " " PUNCT cana-5311 106 28 across across ADP cana-5311 106 29 six six NUM cana-5311 106 30 different different ADJ cana-5311 106 31 datasets dataset NOUN cana-5311 106 32 . . PUNCT cana-5311 107 1 the the DET cana-5311 107 2 slight slight ADJ cana-5311 107 3 deviations deviation NOUN cana-5311 107 4 validate validate VERB cana-5311 107 5 that that SCONJ cana-5311 107 6 enhancing enhance VERB cana-5311 107 7 operational operational ADJ cana-5311 107 8 speed speed NOUN cana-5311 107 9 does do AUX cana-5311 107 10 not not PART cana-5311 107 11 affect affect VERB cana-5311 107 12 the the DET cana-5311 107 13 fundamental fundamental ADJ cana-5311 107 14 analytical analytical ADJ cana-5311 107 15 capabilities capability NOUN cana-5311 107 16 . . PUNCT cana-5311 108 1 table table NOUN cana-5311 108 2 2 2 NUM cana-5311 108 3 : : PUNCT cana-5311 108 4 community community NOUN cana-5311 108 5 detection detection NOUN cana-5311 108 6 accuracy accuracy NOUN cana-5311 108 7 using use VERB cana-5311 108 8 modularity modularity NOUN cana-5311 108 9 score score NOUN cana-5311 108 10 dataset dataset NOUN cana-5311 108 11 name name NOUN cana-5311 108 12 baseline baseline NOUN cana-5311 108 13 modularity modularity NOUN cana-5311 108 14 optimized optimize VERB cana-5311 108 15 modularity modularity NOUN cana-5311 108 16 neta neta NOUN cana-5311 108 17 0.68 0.68 NUM cana-5311 108 18 0.69 0.69 NUM cana-5311 108 19 netb netb NOUN cana-5311 108 20 0.71 0.71 NUM cana-5311 108 21 0.72 0.72 NUM cana-5311 108 22 58.2 58.2 NUM cana-5311 108 23 231.5 231.5 NUM cana-5311 108 24 474.9 474.9 NUM cana-5311 108 25 34.1 34.1 NUM cana-5311 108 26 134.7 134.7 NUM cana-5311 108 27 263.4 263.4 NUM cana-5311 108 28 0 0 NUM cana-5311 108 29 100 100 NUM cana-5311 108 30 200 200 NUM cana-5311 108 31 300 300 NUM cana-5311 108 32 400 400 NUM cana-5311 108 33 500 500 NUM cana-5311 108 34 1000 1000 NUM cana-5311 108 35 5000 5000 NUM cana-5311 108 36 10000 10000 NUM cana-5311 108 37 memory memory NOUN cana-5311 108 38 usage usage NOUN cana-5311 108 39 during during ADP cana-5311 108 40 graph graph NOUN cana-5311 108 41 processing process VERB cana-5311 108 42 baseline baseline NOUN cana-5311 108 43 memory memory NOUN cana-5311 108 44 ( ( PUNCT cana-5311 108 45 mb mb NOUN cana-5311 108 46 ) ) PUNCT cana-5311 108 47 optimized optimize VERB cana-5311 108 48 memory memory NOUN cana-5311 108 49 ( ( PUNCT cana-5311 108 50 mb mb NOUN cana-5311 108 51 ) ) PUNCT cana-5311 108 52 communications communication NOUN cana-5311 108 53 on on ADP cana-5311 108 54 applied apply VERB cana-5311 108 55 nonlinear nonlinear ADJ cana-5311 108 56 analysis analysis NOUN cana-5311 108 57 issn issn NOUN cana-5311 108 58 : : PUNCT cana-5311 108 59 1074 1074 NUM cana-5311 108 60 - - PUNCT cana-5311 108 61 133x 133x NUM cana-5311 108 62 vol vol NOUN cana-5311 108 63 31 31 NUM cana-5311 108 64 no no NOUN cana-5311 108 65 . . PUNCT cana-5311 109 1 6s 6s NUM cana-5311 109 2 ( ( PUNCT cana-5311 109 3 2024 2024 NUM cana-5311 109 4 ) ) PUNCT cana-5311 109 5 750 750 NUM cana-5311 109 6 https://internationalpubls.com https://internationalpubls.com X cana-5311 109 7 netc netc NOUN cana-5311 109 8 0.74 0.74 NUM cana-5311 109 9 0.74 0.74 NUM cana-5311 109 10 netd netd NOUN cana-5311 109 11 0.69 0.69 NUM cana-5311 109 12 0.70 0.70 NUM cana-5311 109 13 nete nete ADJ cana-5311 109 14 0.70 0.70 NUM cana-5311 109 15 0.70 0.70 NUM cana-5311 109 16 netf netf NOUN cana-5311 109 17 0.72 0.72 NUM cana-5311 109 18 0.73 0.73 NUM cana-5311 109 19 insights insight NOUN cana-5311 109 20 arose arise VERB cana-5311 109 21 when when SCONJ cana-5311 109 22 deploying deploy VERB cana-5311 109 23 the the DET cana-5311 109 24 proposed propose VERB cana-5311 109 25 methodology methodology NOUN cana-5311 109 26 in in ADP cana-5311 109 27 environments environment NOUN cana-5311 109 28 that that PRON cana-5311 109 29 constantly constantly ADV cana-5311 109 30 change change VERB cana-5311 109 31 . . PUNCT cana-5311 110 1 the the DET cana-5311 110 2 adaptive adaptive ADJ cana-5311 110 3 mechanisms mechanism NOUN cana-5311 110 4 performed perform VERB cana-5311 110 5 optimally optimally ADV cana-5311 110 6 with with ADP cana-5311 110 7 networks network NOUN cana-5311 110 8 that that PRON cana-5311 110 9 involved involve VERB cana-5311 110 10 numerous numerous ADJ cana-5311 110 11 edge edge NOUN cana-5311 110 12 insertions insertion NOUN cana-5311 110 13 or or CCONJ cana-5311 110 14 removals removal NOUN cana-5311 110 15 due due ADJ cana-5311 110 16 to to ADP cana-5311 110 17 regular regular ADJ cana-5311 110 18 updates update NOUN cana-5311 110 19 [ [ X cana-5311 110 20 10 10 NUM cana-5311 110 21 ] ] PUNCT cana-5311 110 22 . . PUNCT cana-5311 111 1 the the DET cana-5311 111 2 method method NOUN cana-5311 111 3 performed perform VERB cana-5311 111 4 localized localized ADJ cana-5311 111 5 updates update NOUN cana-5311 111 6 for for ADP cana-5311 111 7 maintaining maintain VERB cana-5311 111 8 performance performance NOUN cana-5311 111 9 stability stability NOUN cana-5311 111 10 across across ADP cana-5311 111 11 time time NOUN cana-5311 111 12 intervals interval NOUN cana-5311 111 13 instead instead ADV cana-5311 111 14 of of ADP cana-5311 111 15 requiring require VERB cana-5311 111 16 full full ADJ cana-5311 111 17 recalculations recalculation NOUN cana-5311 111 18 of of ADP cana-5311 111 19 the the DET cana-5311 111 20 entire entire ADJ cana-5311 111 21 graph graph NOUN cana-5311 111 22 structure structure NOUN cana-5311 111 23 . . PUNCT cana-5311 112 1 the the DET cana-5311 112 2 functionality functionality NOUN cana-5311 112 3 stands stand VERB cana-5311 112 4 essential essential ADJ cana-5311 112 5 for for ADP cana-5311 112 6 social social ADJ cana-5311 112 7 media medium NOUN cana-5311 112 8 platforms platform NOUN cana-5311 112 9 since since SCONJ cana-5311 112 10 they they PRON cana-5311 112 11 face face VERB cana-5311 112 12 continuous continuous ADJ cana-5311 112 13 changes change NOUN cana-5311 112 14 in in ADP cana-5311 112 15 user user NOUN cana-5311 112 16 behavior behavior NOUN cana-5311 112 17 . . PUNCT cana-5311 113 1 the the DET cana-5311 113 2 testing testing NOUN cana-5311 113 3 involved involve VERB cana-5311 113 4 evaluating evaluate VERB cana-5311 113 5 real real ADJ cana-5311 113 6 - - PUNCT cana-5311 113 7 time time NOUN cana-5311 113 8 assessment assessment NOUN cana-5311 113 9 of of ADP cana-5311 113 10 simulated simulate VERB cana-5311 113 11 data datum NOUN cana-5311 113 12 streams stream NOUN cana-5311 113 13 in in ADP cana-5311 113 14 which which PRON cana-5311 113 15 delay delay NOUN cana-5311 113 16 measurements measurement NOUN cana-5311 113 17 stayed stay VERB cana-5311 113 18 lower low ADJ cana-5311 113 19 than than ADP cana-5311 113 20 3 3 NUM cana-5311 113 21 seconds second NOUN cana-5311 113 22 thus thus ADV cana-5311 113 23 demonstrating demonstrate VERB cana-5311 113 24 suitability suitability NOUN cana-5311 113 25 for for ADP cana-5311 113 26 operational operational ADJ cana-5311 113 27 application application NOUN cana-5311 113 28 . . PUNCT cana-5311 114 1 the the DET cana-5311 114 2 proposed propose VERB cana-5311 114 3 method method NOUN cana-5311 114 4 delivered deliver VERB cana-5311 114 5 steady steady ADJ cana-5311 114 6 enhancements enhancement NOUN cana-5311 114 7 in in ADP cana-5311 114 8 execution execution NOUN cana-5311 114 9 speed speed NOUN cana-5311 114 10 and and CCONJ cana-5311 114 11 memory memory NOUN cana-5311 114 12 consumption consumption NOUN cana-5311 114 13 while while SCONJ cana-5311 114 14 facing face VERB cana-5311 114 15 tests test NOUN cana-5311 114 16 against against ADP cana-5311 114 17 two two NUM cana-5311 114 18 top top ADJ cana-5311 114 19 graph graph NOUN cana-5311 114 20 libraries library NOUN cana-5311 114 21 . . PUNCT cana-5311 115 1 the the DET cana-5311 115 2 optimization optimization NOUN cana-5311 115 3 methods method NOUN cana-5311 115 4 achieved achieve VERB cana-5311 115 5 execution execution NOUN cana-5311 115 6 performance performance NOUN cana-5311 115 7 at at ADP cana-5311 115 8 1.6Γ— 1.6Γ— NUM cana-5311 115 9 faster fast ADV cana-5311 115 10 compared compare VERB cana-5311 115 11 to to ADP cana-5311 115 12 traditional traditional ADJ cana-5311 115 13 algorithms algorithm NOUN cana-5311 115 14 in in ADP cana-5311 115 15 node node NOUN cana-5311 115 16 ranking ranking NOUN cana-5311 115 17 applications application NOUN cana-5311 115 18 like like ADP cana-5311 115 19 pagerank pagerank NOUN cana-5311 115 20 and and CCONJ cana-5311 115 21 betweenness betweenness NOUN cana-5311 115 22 centrality centrality NOUN cana-5311 115 23 . . PUNCT cana-5311 116 1 the the DET cana-5311 116 2 framework framework NOUN cana-5311 116 3 exhibits exhibit VERB cana-5311 116 4 resistance resistance NOUN cana-5311 116 5 which which PRON cana-5311 116 6 indicates indicate VERB cana-5311 116 7 its its PRON cana-5311 116 8 capacity capacity NOUN cana-5311 116 9 to to PART cana-5311 116 10 unite unite VERB cana-5311 116 11 with with ADP cana-5311 116 12 business business NOUN cana-5311 116 13 intelligence intelligence NOUN cana-5311 116 14 engines engine NOUN cana-5311 116 15 . . PUNCT cana-5311 117 1 the the DET cana-5311 117 2 optimization optimization NOUN cana-5311 117 3 framework framework NOUN cana-5311 117 4 offers offer VERB cana-5311 117 5 speed speed NOUN cana-5311 117 6 and and CCONJ cana-5311 117 7 maintains maintain VERB cana-5311 117 8 accuracy accuracy NOUN cana-5311 117 9 while while SCONJ cana-5311 117 10 processing process VERB cana-5311 117 11 various various ADJ cana-5311 117 12 undirected undirected ADJ cana-5311 117 13 and and CCONJ cana-5311 117 14 directed direct VERB cana-5311 117 15 and and CCONJ cana-5311 117 16 weighted weight VERB cana-5311 117 17 social social ADJ cana-5311 117 18 structures structure NOUN cana-5311 117 19 . . PUNCT cana-5311 118 1 the the DET cana-5311 118 2 framework framework NOUN cana-5311 118 3 demonstrates demonstrate VERB cana-5311 118 4 appropriate appropriate ADJ cana-5311 118 5 capabilities capability NOUN cana-5311 118 6 for for ADP cana-5311 118 7 university university NOUN cana-5311 118 8 - - PUNCT cana-5311 118 9 level level NOUN cana-5311 118 10 and and CCONJ cana-5311 118 11 business business NOUN cana-5311 118 12 - - PUNCT cana-5311 118 13 oriented orient VERB cana-5311 118 14 social social ADJ cana-5311 118 15 analytics analytic NOUN cana-5311 118 16 applications application NOUN cana-5311 118 17 . . PUNCT cana-5311 119 1 strategic strategic ADJ cana-5311 119 2 preprocessing preprocessing NOUN cana-5311 119 3 combined combine VERB cana-5311 119 4 with with ADP cana-5311 119 5 lightweight lightweight ADJ cana-5311 119 6 additions addition NOUN cana-5311 119 7 allows allow VERB cana-5311 119 8 the the DET cana-5311 119 9 achievement achievement NOUN cana-5311 119 10 of of ADP cana-5311 119 11 optimal optimal ADJ cana-5311 119 12 speed speed NOUN cana-5311 119 13 and and CCONJ cana-5311 119 14 accuracy accuracy NOUN cana-5311 119 15 levels level NOUN cana-5311 119 16 according accord VERB cana-5311 119 17 to to ADP cana-5311 119 18 experimental experimental ADJ cana-5311 119 19 results result NOUN cana-5311 119 20 shown show VERB cana-5311 119 21 in in ADP cana-5311 119 22 figures figure NOUN cana-5311 119 23 and and CCONJ cana-5311 119 24 tables table NOUN cana-5311 119 25 [ [ X cana-5311 119 26 11 11 NUM cana-5311 119 27 ] ] PUNCT cana-5311 119 28 . . PUNCT cana-5311 120 1 v. v. ADP cana-5311 120 2 conclusion conclusion NOUN cana-5311 120 3 planting plant VERB cana-5311 120 4 efficient efficient ADJ cana-5311 120 5 algorithms algorithm NOUN cana-5311 120 6 in in ADP cana-5311 120 7 graph graph NOUN cana-5311 120 8 theory theory NOUN cana-5311 120 9 remains remain VERB cana-5311 120 10 essential essential ADJ cana-5311 120 11 to to ADP cana-5311 120 12 boosting boost VERB cana-5311 120 13 the the DET cana-5311 120 14 development development NOUN cana-5311 120 15 of of ADP cana-5311 120 16 modern modern ADJ cana-5311 120 17 social social ADJ cana-5311 120 18 network network NOUN cana-5311 120 19 analytics analytic NOUN cana-5311 120 20 in in ADP cana-5311 120 21 big big ADJ cana-5311 120 22 data datum NOUN cana-5311 120 23 environments environment NOUN cana-5311 120 24 . . PUNCT cana-5311 121 1 small small ADJ cana-5311 121 2 accuracy accuracy NOUN cana-5311 121 3 losses loss NOUN cana-5311 121 4 are be AUX cana-5311 121 5 accepted accept VERB cana-5311 121 6 because because SCONJ cana-5311 121 7 the the DET cana-5311 121 8 gain gain NOUN cana-5311 121 9 from from ADP cana-5311 121 10 efficiency efficiency NOUN cana-5311 121 11 and and CCONJ cana-5311 121 12 practicality practicality NOUN cana-5311 121 13 for for ADP cana-5311 121 14 large large ADJ cana-5311 121 15 data datum NOUN cana-5311 121 16 sets set NOUN cana-5311 121 17 outweighs outweigh VERB cana-5311 121 18 them they PRON cana-5311 121 19 . . PUNCT cana-5311 122 1 the the DET cana-5311 122 2 research research NOUN cana-5311 122 3 field field NOUN cana-5311 122 4 needs need VERB cana-5311 122 5 to to PART cana-5311 122 6 focus focus VERB cana-5311 122 7 on on ADP cana-5311 122 8 creating create VERB cana-5311 122 9 adaptable adaptable ADJ cana-5311 122 10 optimization optimization NOUN cana-5311 122 11 strategies strategy NOUN cana-5311 122 12 which which PRON cana-5311 122 13 automatically automatically ADV cana-5311 122 14 control control VERB cana-5311 122 15 performance performance NOUN cana-5311 122 16 against against ADP cana-5311 122 17 accuracy accuracy NOUN cana-5311 122 18 levels level NOUN cana-5311 122 19 according accord VERB cana-5311 122 20 to to ADP cana-5311 122 21 research research NOUN cana-5311 122 22 specifications specification NOUN cana-5311 122 23 and and CCONJ cana-5311 122 24 the the DET cana-5311 122 25 integration integration NOUN cana-5311 122 26 of of ADP cana-5311 122 27 machine machine NOUN cana-5311 122 28 learning learning NOUN cana-5311 122 29 models model NOUN cana-5311 122 30 for for ADP cana-5311 122 31 algorithm algorithm NOUN cana-5311 122 32 parameter parameter NOUN cana-5311 122 33 selection selection NOUN cana-5311 122 34 across across ADP cana-5311 122 35 various various ADJ cana-5311 122 36 network network NOUN cana-5311 122 37 types type NOUN cana-5311 122 38 . . PUNCT cana-5311 123 1 references reference NOUN cana-5311 123 2 [ [ X cana-5311 123 3 1 1 NUM cana-5311 123 4 ] ] PUNCT cana-5311 123 5 a. a. NOUN cana-5311 123 6 majeed majeed PROPN cana-5311 123 7 and and CCONJ cana-5311 123 8 i. i. PROPN cana-5311 123 9 rauf rauf PROPN cana-5311 123 10 , , PUNCT cana-5311 123 11 β€œ " PUNCT cana-5311 123 12 graph graph NOUN cana-5311 123 13 theory theory NOUN cana-5311 123 14 : : PUNCT cana-5311 123 15 a a DET cana-5311 123 16 comprehensive comprehensive ADJ cana-5311 123 17 survey survey NOUN cana-5311 123 18 about about ADP cana-5311 123 19 graph graph NOUN cana-5311 123 20 theory theory NOUN cana-5311 123 21 applications application NOUN cana-5311 123 22 in in ADP cana-5311 123 23 computer computer NOUN cana-5311 123 24 science science NOUN cana-5311 123 25 and and CCONJ cana-5311 123 26 social social ADJ cana-5311 123 27 networks network NOUN cana-5311 123 28 , , PUNCT cana-5311 123 29 ” " PUNCT cana-5311 123 30 inventions invention NOUN cana-5311 123 31 , , PUNCT cana-5311 123 32 vol vol NOUN cana-5311 123 33 . . PROPN cana-5311 124 1 5 5 NUM cana-5311 124 2 , , PUNCT cana-5311 124 3 no no INTJ cana-5311 124 4 . . NOUN cana-5311 124 5 1 1 NUM cana-5311 124 6 , , PUNCT cana-5311 124 7 p. p. NOUN cana-5311 124 8 10 10 NUM cana-5311 124 9 , , PUNCT cana-5311 124 10 feb feb PROPN cana-5311 124 11 . . PROPN cana-5311 124 12 2020 2020 NUM cana-5311 124 13 , , PUNCT cana-5311 124 14 doi doi NOUN cana-5311 124 15 : : PUNCT cana-5311 124 16 10.3390 10.3390 NUM cana-5311 124 17 / / SYM cana-5311 124 18 inventions5010010 inventions5010010 PROPN cana-5311 124 19 . . PUNCT cana-5311 125 1 [ [ X cana-5311 125 2 2 2 X cana-5311 125 3 ] ] PUNCT cana-5311 125 4 s. s. PROPN cana-5311 125 5 tabassum tabassum PROPN cana-5311 125 6 , , PUNCT cana-5311 125 7 f. f. PROPN cana-5311 125 8 s. s. PROPN cana-5311 125 9 f. f. PROPN cana-5311 125 10 pereira pereira PROPN cana-5311 125 11 , , PUNCT cana-5311 125 12 s. s. PROPN cana-5311 125 13 fernandes fernandes PROPN cana-5311 125 14 , , PUNCT cana-5311 125 15 and and CCONJ cana-5311 125 16 j. j. PROPN cana-5311 125 17 gama gama PROPN cana-5311 125 18 , , PUNCT cana-5311 125 19 β€œ " PUNCT cana-5311 125 20 social social ADJ cana-5311 125 21 network network NOUN cana-5311 125 22 analysis analysis NOUN cana-5311 125 23 : : PUNCT cana-5311 125 24 an an DET cana-5311 125 25 overview overview NOUN cana-5311 125 26 , , PUNCT cana-5311 125 27 ” " PUNCT cana-5311 125 28 wiley wiley PROPN cana-5311 125 29 interdisciplinary interdisciplinary NOUN cana-5311 125 30 reviews review NOUN cana-5311 125 31 data datum NOUN cana-5311 125 32 mining mining NOUN cana-5311 125 33 and and CCONJ cana-5311 125 34 knowledge knowledge NOUN cana-5311 125 35 discovery discovery NOUN cana-5311 125 36 , , PUNCT cana-5311 125 37 vol vol NOUN cana-5311 125 38 . . PROPN cana-5311 125 39 8 8 NUM cana-5311 125 40 , , PUNCT cana-5311 125 41 no no INTJ cana-5311 125 42 . . NOUN cana-5311 125 43 5 5 NUM cana-5311 125 44 , , PUNCT cana-5311 125 45 apr apr NOUN cana-5311 125 46 . . PROPN cana-5311 125 47 2018 2018 NUM cana-5311 125 48 , , PUNCT cana-5311 125 49 doi doi NOUN cana-5311 125 50 : : PUNCT cana-5311 125 51 10.1002 10.1002 NUM cana-5311 125 52 / / SYM cana-5311 125 53 widm.1256 widm.1256 PROPN cana-5311 125 54 . . PUNCT cana-5311 126 1 [ [ X cana-5311 126 2 3 3 X cana-5311 126 3 ] ] X cana-5311 126 4 g. g. PROPN cana-5311 126 5 a. a. PROPN cana-5311 126 6 pavlopoulos pavlopoulos PROPN cana-5311 126 7 et et PROPN cana-5311 126 8 al al PROPN cana-5311 126 9 . . PROPN cana-5311 126 10 , , PUNCT cana-5311 126 11 β€œ " PUNCT cana-5311 126 12 using use VERB cana-5311 126 13 graph graph NOUN cana-5311 126 14 theory theory NOUN cana-5311 126 15 to to PART cana-5311 126 16 analyze analyze VERB cana-5311 126 17 biological biological ADJ cana-5311 126 18 networks network NOUN cana-5311 126 19 , , PUNCT cana-5311 126 20 ” " PUNCT cana-5311 126 21 biodata biodata PROPN cana-5311 126 22 mining mining NOUN cana-5311 126 23 , , PUNCT cana-5311 126 24 vol vol NOUN cana-5311 126 25 . . PROPN cana-5311 126 26 4 4 NUM cana-5311 126 27 , , PUNCT cana-5311 126 28 no no INTJ cana-5311 126 29 . . NOUN cana-5311 126 30 1 1 NUM cana-5311 126 31 , , PUNCT cana-5311 126 32 apr apr NOUN cana-5311 126 33 . . PROPN cana-5311 126 34 2011 2011 NUM cana-5311 126 35 , , PUNCT cana-5311 126 36 doi doi NOUN cana-5311 126 37 : : PUNCT cana-5311 126 38 10.1186/1756 10.1186/1756 NUM cana-5311 126 39 - - SYM cana-5311 126 40 0381 0381 NUM cana-5311 126 41 - - PUNCT cana-5311 126 42 4 4 NUM cana-5311 126 43 - - SYM cana-5311 126 44 10 10 NUM cana-5311 126 45 . . PUNCT cana-5311 127 1 [ [ X cana-5311 127 2 4 4 X cana-5311 127 3 ] ] PUNCT cana-5311 127 4 z. z. PROPN cana-5311 127 5 lin lin PROPN cana-5311 127 6 , , PUNCT cana-5311 127 7 y. y. PROPN cana-5311 127 8 zhang zhang PROPN cana-5311 127 9 , , PUNCT cana-5311 127 10 q. q. PROPN cana-5311 127 11 gong gong PROPN cana-5311 127 12 , , PUNCT cana-5311 127 13 y. y. PROPN cana-5311 127 14 chen chen PROPN cana-5311 127 15 , , PUNCT cana-5311 127 16 a. a. NOUN cana-5311 127 17 oksanen oksanen NOUN cana-5311 127 18 , , PUNCT cana-5311 127 19 and and CCONJ cana-5311 127 20 a. a. NOUN cana-5311 127 21 y. y. PROPN cana-5311 127 22 ding ding PROPN cana-5311 127 23 , , PUNCT cana-5311 127 24 β€œ " PUNCT cana-5311 127 25 structural structural ADJ cana-5311 127 26 hole hole NOUN cana-5311 127 27 theory theory NOUN cana-5311 127 28 in in ADP cana-5311 127 29 social social ADJ cana-5311 127 30 network network NOUN cana-5311 127 31 analysis analysis NOUN cana-5311 127 32 : : PUNCT cana-5311 127 33 a a DET cana-5311 127 34 review review NOUN cana-5311 127 35 , , PUNCT cana-5311 127 36 ” " PUNCT cana-5311 127 37 ieee ieee NOUN cana-5311 127 38 transactions transaction NOUN cana-5311 127 39 on on ADP cana-5311 127 40 computational computational ADJ cana-5311 127 41 social social ADJ cana-5311 127 42 systems system NOUN cana-5311 127 43 , , PUNCT cana-5311 127 44 vol vol NOUN cana-5311 127 45 . . PROPN cana-5311 127 46 9 9 NUM cana-5311 127 47 , , PUNCT cana-5311 127 48 no no INTJ cana-5311 127 49 . . NOUN cana-5311 127 50 3 3 NUM cana-5311 127 51 , , PUNCT cana-5311 127 52 pp pp ADJ cana-5311 127 53 . . PUNCT cana-5311 128 1 724–739 724–739 NUM cana-5311 128 2 , , PUNCT cana-5311 128 3 apr apr NOUN cana-5311 128 4 . . PROPN cana-5311 128 5 2021 2021 NUM cana-5311 128 6 , , PUNCT cana-5311 128 7 doi doi NOUN cana-5311 128 8 : : PUNCT cana-5311 128 9 10.1109 10.1109 NUM cana-5311 128 10 / / SYM cana-5311 128 11 tcss.2021.3070321 tcss.2021.3070321 PROPN cana-5311 128 12 . . PUNCT cana-5311 128 13 communications communication NOUN cana-5311 128 14 on on ADP cana-5311 128 15 applied apply VERB cana-5311 128 16 nonlinear nonlinear ADJ cana-5311 128 17 analysis analysis NOUN cana-5311 128 18 issn issn NOUN cana-5311 128 19 : : PUNCT cana-5311 128 20 1074 1074 NUM cana-5311 128 21 - - PUNCT cana-5311 128 22 133x 133x NUM cana-5311 128 23 vol vol NOUN cana-5311 128 24 31 31 NUM cana-5311 128 25 no no NOUN cana-5311 128 26 . . PUNCT cana-5311 129 1 6s 6s NUM cana-5311 129 2 ( ( PUNCT cana-5311 129 3 2024 2024 NUM cana-5311 129 4 ) ) PUNCT cana-5311 129 5 751 751 NUM cana-5311 129 6 https://internationalpubls.com https://internationalpubls.com X cana-5311 130 1 [ [ X cana-5311 130 2 5 5 NUM cana-5311 130 3 ] ] PUNCT cana-5311 130 4 k. k. PROPN cana-5311 130 5 varsha varsha PROPN cana-5311 130 6 and and CCONJ cana-5311 130 7 k. k. PROPN cana-5311 130 8 k. k. PROPN cana-5311 130 9 patil patil PROPN cana-5311 130 10 , , PUNCT cana-5311 130 11 β€œ " PUNCT cana-5311 130 12 an an DET cana-5311 130 13 overview overview NOUN cana-5311 130 14 of of ADP cana-5311 130 15 community community NOUN cana-5311 130 16 detection detection NOUN cana-5311 130 17 algorithms algorithm NOUN cana-5311 130 18 in in ADP cana-5311 130 19 social social ADJ cana-5311 130 20 networks network NOUN cana-5311 130 21 , , PUNCT cana-5311 130 22 ” " PUNCT cana-5311 130 23 2022 2022 NUM cana-5311 130 24 international international ADJ cana-5311 130 25 conference conference NOUN cana-5311 130 26 on on ADP cana-5311 130 27 inventive inventive ADJ cana-5311 130 28 computation computation NOUN cana-5311 130 29 technologies technology NOUN cana-5311 130 30 ( ( PUNCT cana-5311 130 31 icict icict NOUN cana-5311 130 32 ) ) PUNCT cana-5311 130 33 , , PUNCT cana-5311 130 34 pp pp ADP cana-5311 130 35 . . PUNCT cana-5311 131 1 121–126 121–126 NUM cana-5311 131 2 , , PUNCT cana-5311 131 3 feb feb PROPN cana-5311 131 4 . . PROPN cana-5311 131 5 2020 2020 NUM cana-5311 131 6 , , PUNCT cana-5311 131 7 doi doi NOUN cana-5311 131 8 : : PUNCT cana-5311 131 9 10.1109 10.1109 NUM cana-5311 131 10 / / SYM cana-5311 131 11 icict48043.2020.9112563 icict48043.2020.9112563 NOUN cana-5311 131 12 . . PUNCT cana-5311 132 1 [ [ X cana-5311 132 2 6 6 NUM cana-5311 132 3 ] ] PUNCT cana-5311 132 4 s. s. PROPN cana-5311 132 5 s. s. PROPN cana-5311 132 6 singh singh PROPN cana-5311 132 7 , , PUNCT cana-5311 132 8 s. s. PROPN cana-5311 132 9 muhuri muhuri PROPN cana-5311 132 10 , , PUNCT cana-5311 132 11 s. s. PROPN cana-5311 132 12 mishra mishra PROPN cana-5311 132 13 , , PUNCT cana-5311 132 14 d. d. PROPN cana-5311 132 15 srivastava srivastava PROPN cana-5311 132 16 , , PUNCT cana-5311 132 17 h. h. PROPN cana-5311 132 18 k. k. PROPN cana-5311 132 19 shakya shakya PROPN cana-5311 132 20 , , PUNCT cana-5311 132 21 and and CCONJ cana-5311 132 22 n. n. PROPN cana-5311 132 23 kumar kumar PROPN cana-5311 132 24 , , PUNCT cana-5311 132 25 β€œ " PUNCT cana-5311 132 26 social social ADJ cana-5311 132 27 network network NOUN cana-5311 132 28 analysis analysis NOUN cana-5311 132 29 : : PUNCT cana-5311 132 30 a a DET cana-5311 132 31 survey survey NOUN cana-5311 132 32 on on ADP cana-5311 132 33 process process NOUN cana-5311 132 34 , , PUNCT cana-5311 132 35 tools tool NOUN cana-5311 132 36 , , PUNCT cana-5311 132 37 and and CCONJ cana-5311 132 38 application application NOUN cana-5311 132 39 , , PUNCT cana-5311 132 40 ” " PUNCT cana-5311 132 41 acm acm PROPN cana-5311 132 42 computing computing NOUN cana-5311 132 43 surveys survey NOUN cana-5311 132 44 , , PUNCT cana-5311 132 45 vol vol NOUN cana-5311 132 46 . . PROPN cana-5311 133 1 56 56 NUM cana-5311 133 2 , , PUNCT cana-5311 133 3 no no INTJ cana-5311 133 4 . . NOUN cana-5311 133 5 8 8 NUM cana-5311 133 6 , , PUNCT cana-5311 133 7 pp pp PROPN cana-5311 133 8 . . PUNCT cana-5311 134 1 1–39 1–39 PROPN cana-5311 134 2 , , PUNCT cana-5311 134 3 feb feb PROPN cana-5311 134 4 . . PROPN cana-5311 134 5 2024 2024 NUM cana-5311 134 6 , , PUNCT cana-5311 134 7 doi doi NOUN cana-5311 134 8 : : PUNCT cana-5311 134 9 10.1145/3648470 10.1145/3648470 NUM cana-5311 134 10 . . PUNCT cana-5311 135 1 [ [ X cana-5311 135 2 7 7 X cana-5311 135 3 ] ] X cana-5311 135 4 n. n. NOUN cana-5311 135 5 yadati yadati PROPN cana-5311 135 6 and and CCONJ cana-5311 135 7 r. r. PROPN cana-5311 135 8 narayanam narayanam PROPN cana-5311 135 9 , , PUNCT cana-5311 135 10 β€œ " PUNCT cana-5311 135 11 game game NOUN cana-5311 135 12 theoretic theoretic NOUN cana-5311 135 13 models model NOUN cana-5311 135 14 for for ADP cana-5311 135 15 social social ADJ cana-5311 135 16 network network NOUN cana-5311 135 17 analysis analysis NOUN cana-5311 135 18 , , PUNCT cana-5311 135 19 ” " PUNCT cana-5311 135 20 www www NOUN cana-5311 135 21 ’ ’ PROPN cana-5311 135 22 11 11 NUM cana-5311 135 23 : : PUNCT cana-5311 135 24 proceedings proceeding NOUN cana-5311 135 25 of of ADP cana-5311 135 26 the the DET cana-5311 135 27 20th 20th ADJ cana-5311 135 28 international international ADJ cana-5311 135 29 conference conference NOUN cana-5311 135 30 companion companion NOUN cana-5311 135 31 on on ADP cana-5311 135 32 world world NOUN cana-5311 135 33 wide wide ADJ cana-5311 135 34 web web NOUN cana-5311 135 35 , , PUNCT cana-5311 135 36 pp pp ADJ cana-5311 135 37 . . PUNCT cana-5311 136 1 291–292 291–292 NUM cana-5311 136 2 , , PUNCT cana-5311 136 3 mar mar PROPN cana-5311 136 4 . . PROPN cana-5311 136 5 2011 2011 NUM cana-5311 136 6 , , PUNCT cana-5311 136 7 doi doi NOUN cana-5311 136 8 : : PUNCT cana-5311 136 9 10.1145/1963192.1963316 10.1145/1963192.1963316 NUM cana-5311 136 10 . . PUNCT cana-5311 137 1 [ [ X cana-5311 137 2 8 8 NUM cana-5311 137 3 ] ] PUNCT cana-5311 137 4 p. p. NOUN cana-5311 137 5 bedi bedi PROPN cana-5311 137 6 and and CCONJ cana-5311 137 7 c. c. PROPN cana-5311 137 8 sharma sharma PROPN cana-5311 137 9 , , PUNCT cana-5311 137 10 β€œ " PUNCT cana-5311 137 11 community community NOUN cana-5311 137 12 detection detection NOUN cana-5311 137 13 in in ADP cana-5311 137 14 social social ADJ cana-5311 137 15 networks network NOUN cana-5311 137 16 , , PUNCT cana-5311 137 17 ” " PUNCT cana-5311 137 18 wiley wiley PROPN cana-5311 137 19 interdisciplinary interdisciplinary NOUN cana-5311 137 20 reviews review NOUN cana-5311 137 21 data datum NOUN cana-5311 137 22 mining mining NOUN cana-5311 137 23 and and CCONJ cana-5311 137 24 knowledge knowledge NOUN cana-5311 137 25 discovery discovery NOUN cana-5311 137 26 , , PUNCT cana-5311 137 27 vol vol NOUN cana-5311 137 28 . . PROPN cana-5311 137 29 6 6 NUM cana-5311 137 30 , , PUNCT cana-5311 137 31 no no INTJ cana-5311 137 32 . . NOUN cana-5311 137 33 3 3 NUM cana-5311 137 34 , , PUNCT cana-5311 137 35 pp pp ADJ cana-5311 137 36 . . PUNCT cana-5311 138 1 115–135 115–135 NUM cana-5311 138 2 , , PUNCT cana-5311 138 3 feb feb PROPN cana-5311 138 4 . . PROPN cana-5311 138 5 2016 2016 NUM cana-5311 138 6 , , PUNCT cana-5311 138 7 doi doi NOUN cana-5311 138 8 : : PUNCT cana-5311 138 9 10.1002 10.1002 NUM cana-5311 138 10 / / SYM cana-5311 138 11 widm.1178 widm.1178 PROPN cana-5311 138 12 . . PUNCT cana-5311 139 1 [ [ X cana-5311 139 2 9 9 NUM cana-5311 139 3 ] ] SYM cana-5311 139 4 i. i. NOUN cana-5311 139 5 momennejad momennejad PROPN cana-5311 139 6 , , PUNCT cana-5311 139 7 β€œ " PUNCT cana-5311 139 8 collective collective ADJ cana-5311 139 9 minds mind NOUN cana-5311 139 10 : : PUNCT cana-5311 139 11 social social ADJ cana-5311 139 12 network network NOUN cana-5311 139 13 topology topology NOUN cana-5311 139 14 shapes shape VERB cana-5311 139 15 collective collective ADJ cana-5311 139 16 cognition cognition NOUN cana-5311 139 17 , , PUNCT cana-5311 139 18 ” " PUNCT cana-5311 139 19 philosophical philosophical ADJ cana-5311 139 20 transactions transaction NOUN cana-5311 139 21 of of ADP cana-5311 139 22 the the DET cana-5311 139 23 royal royal ADJ cana-5311 139 24 society society PROPN cana-5311 139 25 b b PROPN cana-5311 139 26 biological biological ADJ cana-5311 139 27 sciences science NOUN cana-5311 139 28 , , PUNCT cana-5311 139 29 vol vol NOUN cana-5311 139 30 . . PROPN cana-5311 139 31 377 377 NUM cana-5311 139 32 , , PUNCT cana-5311 139 33 no no INTJ cana-5311 139 34 . . NOUN cana-5311 139 35 1843 1843 NUM cana-5311 139 36 , , PUNCT cana-5311 139 37 dec dec PROPN cana-5311 139 38 . . PROPN cana-5311 139 39 2021 2021 NUM cana-5311 139 40 , , PUNCT cana-5311 139 41 doi doi NOUN cana-5311 139 42 : : PUNCT cana-5311 139 43 10.1098 10.1098 NUM cana-5311 139 44 / / SYM cana-5311 139 45 rstb.2020.0315 rstb.2020.0315 PROPN cana-5311 139 46 . . PUNCT cana-5311 140 1 [ [ X cana-5311 140 2 10 10 NUM cana-5311 140 3 ] ] X cana-5311 140 4 h. h. PROPN cana-5311 140 5 yuliansyah yuliansyah PROPN cana-5311 140 6 , , PUNCT cana-5311 140 7 z. z. PROPN cana-5311 140 8 a. a. PROPN cana-5311 140 9 othman othman PROPN cana-5311 140 10 , , PUNCT cana-5311 140 11 and and CCONJ cana-5311 140 12 a. a. NOUN cana-5311 140 13 a. a. NOUN cana-5311 140 14 bakar bakar PROPN cana-5311 140 15 , , PUNCT cana-5311 140 16 β€œ " PUNCT cana-5311 140 17 taxonomy taxonomy NOUN cana-5311 140 18 of of ADP cana-5311 140 19 link link NOUN cana-5311 140 20 prediction prediction NOUN cana-5311 140 21 for for ADP cana-5311 140 22 social social ADJ cana-5311 140 23 network network NOUN cana-5311 140 24 analysis analysis NOUN cana-5311 140 25 : : PUNCT cana-5311 140 26 a a DET cana-5311 140 27 review review NOUN cana-5311 140 28 , , PUNCT cana-5311 140 29 ” " PUNCT cana-5311 140 30 ieee ieee NOUN cana-5311 140 31 access access NOUN cana-5311 140 32 , , PUNCT cana-5311 140 33 vol vol NOUN cana-5311 140 34 . . PROPN cana-5311 140 35 8 8 NUM cana-5311 140 36 , , PUNCT cana-5311 140 37 pp pp ADJ cana-5311 140 38 . . PUNCT cana-5311 141 1 183470–183487 183470–183487 NUM cana-5311 141 2 , , PUNCT cana-5311 141 3 jan jan PROPN cana-5311 141 4 . . PROPN cana-5311 141 5 2020 2020 NUM cana-5311 141 6 , , PUNCT cana-5311 141 7 doi doi NOUN cana-5311 141 8 : : PUNCT cana-5311 141 9 10.1109 10.1109 NUM cana-5311 141 10 / / SYM cana-5311 141 11 access.2020.3029122 access.2020.3029122 PROPN cana-5311 141 12 . . PUNCT cana-5311 142 1 [ [ X cana-5311 142 2 11 11 NUM cana-5311 142 3 ] ] X cana-5311 142 4 l. l. PROPN cana-5311 142 5 ding ding PROPN cana-5311 142 6 , , PUNCT cana-5311 142 7 c. c. PROPN cana-5311 142 8 li li PROPN cana-5311 142 9 , , PUNCT cana-5311 142 10 d. d. PROPN cana-5311 142 11 jin jin PROPN cana-5311 142 12 , , PUNCT cana-5311 142 13 and and CCONJ cana-5311 142 14 s. s. PROPN cana-5311 142 15 ding ding PROPN cana-5311 142 16 , , PUNCT cana-5311 142 17 β€œ " PUNCT cana-5311 142 18 survey survey NOUN cana-5311 142 19 of of ADP cana-5311 142 20 spectral spectral ADJ cana-5311 142 21 clustering clustering NOUN cana-5311 142 22 based base VERB cana-5311 142 23 on on ADP cana-5311 142 24 graph graph NOUN cana-5311 142 25 theory theory NOUN cana-5311 142 26 , , PUNCT cana-5311 142 27 ” " PUNCT cana-5311 142 28 pattern pattern NOUN cana-5311 142 29 recognition recognition NOUN cana-5311 142 30 , , PUNCT cana-5311 142 31 vol vol NOUN cana-5311 142 32 . . PROPN cana-5311 142 33 151 151 NUM cana-5311 142 34 , , PUNCT cana-5311 142 35 p. p. NOUN cana-5311 142 36 110366 110366 NUM cana-5311 142 37 , , PUNCT cana-5311 142 38 feb feb PROPN cana-5311 142 39 . . PROPN cana-5311 142 40 2024 2024 NUM cana-5311 142 41 , , PUNCT cana-5311 142 42 doi doi NOUN cana-5311 142 43 : : PUNCT cana-5311 142 44 10.1016 10.1016 NUM cana-5311 142 45 / / SYM cana-5311 142 46 j.patcog.2024.110366 j.patcog.2024.110366 NOUN cana-5311 142 47 . . PUNCT cana-5311 143 1 [ [ X cana-5311 143 2 12 12 NUM cana-5311 143 3 ] ] X cana-5311 143 4 r. r. PROPN cana-5311 143 5 das das PROPN cana-5311 143 6 and and CCONJ cana-5311 143 7 m. m. NOUN cana-5311 143 8 soylu soylu PROPN cana-5311 143 9 , , PUNCT cana-5311 143 10 β€œ " PUNCT cana-5311 143 11 a a DET cana-5311 143 12 key key ADJ cana-5311 143 13 review review NOUN cana-5311 143 14 on on ADP cana-5311 143 15 graph graph NOUN cana-5311 143 16 data datum NOUN cana-5311 143 17 science science NOUN cana-5311 143 18 : : PUNCT cana-5311 143 19 the the DET cana-5311 143 20 power power NOUN cana-5311 143 21 of of ADP cana-5311 143 22 graphs graph NOUN cana-5311 143 23 in in ADP cana-5311 143 24 scientific scientific ADJ cana-5311 143 25 studies study NOUN cana-5311 143 26 , , PUNCT cana-5311 143 27 ” " PUNCT cana-5311 143 28 chemometrics chemometric NOUN cana-5311 143 29 and and CCONJ cana-5311 143 30 intelligent intelligent ADJ cana-5311 143 31 laboratory laboratory NOUN cana-5311 143 32 systems system NOUN cana-5311 143 33 , , PUNCT cana-5311 143 34 vol vol NOUN cana-5311 143 35 . . PROPN cana-5311 143 36 240 240 NUM cana-5311 143 37 , , PUNCT cana-5311 143 38 p. p. NOUN cana-5311 143 39 104896 104896 NUM cana-5311 143 40 , , PUNCT cana-5311 143 41 jun jun PROPN cana-5311 143 42 . . PROPN cana-5311 143 43 2023 2023 NUM cana-5311 143 44 , , PUNCT cana-5311 143 45 doi doi NOUN cana-5311 143 46 : : PUNCT cana-5311 143 47 10.1016 10.1016 NUM cana-5311 143 48 / / SYM cana-5311 143 49 j.chemolab.2023.104896 j.chemolab.2023.104896 NOUN cana-5311 143 50 . . PUNCT cana-5311 144 1 [ [ X cana-5311 144 2 13 13 NUM cana-5311 144 3 ] ] SYM cana-5311 144 4 a. a. NOUN cana-5311 144 5 jonnalagadda jonnalagadda NOUN cana-5311 144 6 and and CCONJ cana-5311 144 7 l. l. PROPN cana-5311 144 8 kuppusamy kuppusamy PROPN cana-5311 144 9 , , PUNCT cana-5311 144 10 β€œ " PUNCT cana-5311 144 11 a a DET cana-5311 144 12 survey survey NOUN cana-5311 144 13 on on ADP cana-5311 144 14 game game NOUN cana-5311 144 15 theoretic theoretic NOUN cana-5311 144 16 models model NOUN cana-5311 144 17 for for ADP cana-5311 144 18 community community NOUN cana-5311 144 19 detection detection NOUN cana-5311 144 20 in in ADP cana-5311 144 21 social social ADJ cana-5311 144 22 networks network NOUN cana-5311 144 23 , , PUNCT cana-5311 144 24 ” " PUNCT cana-5311 144 25 social social ADJ cana-5311 144 26 network network NOUN cana-5311 144 27 analysis analysis NOUN cana-5311 144 28 and and CCONJ cana-5311 144 29 mining mining NOUN cana-5311 144 30 , , PUNCT cana-5311 144 31 vol vol NOUN cana-5311 144 32 . . PROPN cana-5311 144 33 6 6 NUM cana-5311 144 34 , , PUNCT cana-5311 144 35 no no INTJ cana-5311 144 36 . . NOUN cana-5311 144 37 1 1 NUM cana-5311 144 38 , , PUNCT cana-5311 144 39 sep sep PROPN cana-5311 144 40 . . PROPN cana-5311 144 41 2016 2016 NUM cana-5311 144 42 , , PUNCT cana-5311 144 43 doi doi NOUN cana-5311 144 44 : : PUNCT cana-5311 144 45 10.1007 10.1007 NUM cana-5311 144 46 / / SYM cana-5311 144 47 s13278 s13278 NOUN cana-5311 144 48 - - PUNCT cana-5311 144 49 016 016 NUM cana-5311 144 50 - - PUNCT cana-5311 144 51 0386 0386 NUM cana-5311 144 52 - - PUNCT cana-5311 144 53 1 1 NUM cana-5311 144 54 . . PUNCT cana-5311 145 1 [ [ X cana-5311 145 2 14 14 NUM cana-5311 145 3 ] ] X cana-5311 145 4 y. y. PROPN cana-5311 145 5 li li PROPN cana-5311 145 6 , , PUNCT cana-5311 145 7 c. c. PROPN cana-5311 145 8 xue xue PROPN cana-5311 145 9 , , PUNCT cana-5311 145 10 f. f. PROPN cana-5311 145 11 zargari zargari PROPN cana-5311 145 12 , , PUNCT cana-5311 145 13 and and CCONJ cana-5311 145 14 y. y. PROPN cana-5311 145 15 r. r. PROPN cana-5311 145 16 li li PROPN cana-5311 145 17 , , PUNCT cana-5311 145 18 β€œ " PUNCT cana-5311 145 19 from from ADP cana-5311 145 20 graph graph NOUN cana-5311 145 21 theory theory NOUN cana-5311 145 22 to to PART cana-5311 145 23 graph graph VERB cana-5311 145 24 neural neural ADJ cana-5311 145 25 networks network NOUN cana-5311 145 26 ( ( PUNCT cana-5311 145 27 gnns gnns ADJ cana-5311 145 28 ): ): PUNCT cana-5311 145 29 the the DET cana-5311 145 30 opportunities opportunity NOUN cana-5311 145 31 of of ADP cana-5311 145 32 gnns gnns NOUN cana-5311 145 33 in in ADP cana-5311 145 34 power power NOUN cana-5311 145 35 electronics electronic NOUN cana-5311 145 36 , , PUNCT cana-5311 145 37 ” " PUNCT cana-5311 145 38 ieee ieee NOUN cana-5311 145 39 access access NOUN cana-5311 145 40 , , PUNCT cana-5311 145 41 vol vol NOUN cana-5311 145 42 . . PROPN cana-5311 145 43 11 11 NUM cana-5311 145 44 , , PUNCT cana-5311 145 45 pp pp ADJ cana-5311 145 46 . . PUNCT cana-5311 146 1 145067–145084 145067–145084 NUM cana-5311 146 2 , , PUNCT cana-5311 146 3 jan jan PROPN cana-5311 146 4 . . PROPN cana-5311 146 5 2023 2023 NUM cana-5311 146 6 , , PUNCT cana-5311 146 7 doi doi NOUN cana-5311 146 8 : : PUNCT cana-5311 146 9 10.1109 10.1109 NUM cana-5311 146 10 / / SYM cana-5311 146 11 access.2023.3345795 access.2023.3345795 ADJ cana-5311 146 12 . . PUNCT cana-5311 147 1 [ [ X cana-5311 147 2 15 15 NUM cana-5311 147 3 ] ] X cana-5311 147 4 u. u. PROPN cana-5311 147 5 khuram khuram PROPN cana-5311 147 6 and and CCONJ cana-5311 147 7 i. i. PROPN cana-5311 147 8 kilani kilani PROPN cana-5311 147 9 , , PUNCT cana-5311 147 10 β€œ " PUNCT cana-5311 147 11 network network NOUN cana-5311 147 12 science science NOUN cana-5311 147 13 in in ADP cana-5311 147 14 social social ADJ cana-5311 147 15 media medium NOUN cana-5311 147 16 analysis analysis NOUN cana-5311 147 17 : : PUNCT cana-5311 147 18 analyzing analyze VERB cana-5311 147 19 information information NOUN cana-5311 147 20 diffusion diffusion NOUN cana-5311 147 21 and and CCONJ cana-5311 147 22 viral viral ADJ cana-5311 147 23 trends trend NOUN cana-5311 147 24 , , PUNCT cana-5311 147 25 ” " PUNCT cana-5311 147 26 authorea authorea INTJ cana-5311 147 27 ( ( PUNCT cana-5311 147 28 authorea authorea INTJ cana-5311 147 29 ) ) PUNCT cana-5311 147 30 , , PUNCT cana-5311 147 31 sep sep PROPN cana-5311 147 32 . . PROPN cana-5311 147 33 2023 2023 NUM cana-5311 147 34 , , PUNCT cana-5311 147 35 doi doi NOUN cana-5311 147 36 : : PUNCT cana-5311 147 37 10.22541 10.22541 NUM cana-5311 147 38 / / SYM cana-5311 147 39 au.169454335.55769902 au.169454335.55769902 ADJ cana-5311 147 40 / / SYM cana-5311 147 41 v1 v1 NOUN cana-5311 147 42 . . PUNCT